Abstract
Our aim is to establish some new cases of the global Langlands correspondence for $\mathrm{GL}_m$. Along the way we obtain a new result on the description of the cohomology of some compact Shimura varieties. Let $F$ be a CM field with complex conjugation $c$ and $\Pi$ be a cuspidal automorphic representation of $\mathrm{GL}_m({\mathbb A}_F)$. Suppose that $\Pi^\vee\simeq \Pi\circ c$ and that $\Pi_\infty$ is cohomological. A very mild condition on $\Pi_\infty$ is imposed if $m$ is even. We prove that for each prime $l$ there exists a continuous semisimple representation $R_l(\Pi):\operatorname{Gal}(\overline{F}/F)\rightarrow \mathrm{GL}_m(\overline{\Bbb{Q}}_l)$ such that $\Pi$ and $R_l(\Pi)$ correspond via the local Langlands correspondence (established by Harris-Taylor and Henniart) at every finite place $w\nmid l$ of $F$ (“local-global compatibility”). We also obtain several additional properties of $R_l(\Pi)$ and prove the Ramanujan-Petersson conjecture for $\Pi$. This improves the previous results obtained by Clozel, Kottwitz, Harris-Taylor and Taylor-Yoshida, where it was assumed in addition that $\Pi$ is square integrable at a finite place. It is worth noting that the mild condition on $\Pi_\infty$ in our theorem is removed by a $p$-adic deformation argument, thanks to Chenevier-Harris.
Our approach generalizes that of Harris-Taylor, which constructs Galois representations by studying the $l$-adic cohomology and bad reduction of certain compact Shimura varieties attached to unitary similitude groups. The central part of our work is the computation of the cohomology of the so-called Igusa varieties. Some of the main tools are the stabilized counting point formula for Igusa varieties and techniques in the stable and twisted trace formulas.
Recently there have been results by Morel and Clozel-Harris-Labesse in a similar direction as ours. Our result is stronger in a few aspects. Most notably, we obtain information about $R_l(\Pi)$ at ramified places.
-
[AC89] J. Arthur and L. Clozel, Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, Princeton, NJ: Princeton Univ. Press, 1989, vol. 120.
@book {AC89, MRKEY = {1007299},
AUTHOR = {Arthur, James and Clozel, Laurent},
TITLE = {Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula},
SERIES = {Annals of Math. Stud.},
VOLUME = {120},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, NJ},
YEAR = {1989},
PAGES = {xiv+230},
ISBN = {0-691-08517-X; 0-691-08518-8},
MRCLASS = {22E55 (11F70 11F72 11R39)},
MRNUMBER = {1007299},
MRREVIEWER = {Stephen Gelbart},
ZBLNUMBER = {0682.10022},
} -
[Art86]
J. Arthur, "On a family of distributions obtained from orbits," Canad. J. Math., vol. 38, iss. 1, pp. 179-214, 1986.
@article {Art86, MRKEY = {0835041},
AUTHOR = {Arthur, James},
TITLE = {On a family of distributions obtained from orbits},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Mathématiques},
VOLUME = {38},
YEAR = {1986},
NUMBER = {1},
PAGES = {179--214},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {11F72 (22E55)},
MRNUMBER = {0835041},
MRREVIEWER = {A. B. Venkov},
DOI = {10.4153/CJM-1986-009-4},
ZBLNUMBER = {0593.22015},
} -
[Art88a]
J. Arthur, "The invariant trace formula. I. Local theory," J. Amer. Math. Soc., vol. 1, iss. 2, pp. 323-383, 1988.
@article {Art88a, MRKEY = {0928262},
AUTHOR = {Arthur, James},
TITLE = {The invariant trace formula. {I}. {L}ocal theory},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {1},
YEAR = {1988},
NUMBER = {2},
PAGES = {323--383},
ISSN = {0894-0347},
MRCLASS = {22E55 (11F70 11F72)},
MRNUMBER = {0928262},
ZBLNUMBER ={0682.10021},
MRREVIEWER = {A. B. Venkov},
DOI = {10.2307/1990920},
} -
[Art88b]
J. Arthur, "The invariant trace formula. II. Global theory," J. Amer. Math. Soc., vol. 1, iss. 3, pp. 501-554, 1988.
@article {Art88b, MRKEY = {0939691},
AUTHOR = {Arthur, James},
TITLE = {The invariant trace formula. {II}. {G}lobal theory},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {1},
YEAR = {1988},
NUMBER = {3},
PAGES = {501--554},
ISSN = {0894-0347},
MRCLASS = {22E55 (11F72)},
MRNUMBER = {0939691},
MRREVIEWER = {A. B. Venkov},
DOI = {10.2307/1990948},
ZBLNUMBER = {0667.10019},
} -
[Art89]
J. Arthur, "The $L^2$-Lefschetz numbers of Hecke operators," Invent. Math., vol. 97, iss. 2, pp. 257-290, 1989.
@article {Art89, MRKEY = {1001841},
AUTHOR = {Arthur, James},
TITLE = {The {$L\sp 2$}-{L}efschetz numbers of {H}ecke operators},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {97},
YEAR = {1989},
NUMBER = {2},
PAGES = {257--290},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {22E55},
MRNUMBER = {1001841},
MRREVIEWER = {Stephen Gelbart},
DOI = {10.1007/BF01389042},
ZBLNUMBER = {0692.22004},
} -
[Art05] J. Arthur, "An introduction to the trace formula," in Harmonic Analysis, the Trace Formula, and Shimura Varieties, Providence, RI: Amer. Math. Soc., 2005, vol. 4, pp. 1-263.
@incollection {Art05, MRKEY = {2192011},
AUTHOR = {Arthur, James},
TITLE = {An introduction to the trace formula},
BOOKTITLE = {Harmonic Analysis, the Trace Formula, and {S}himura Varieties},
SERIES = {Clay Math. Proc.},
VOLUME = {4},
PAGES = {1--263},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2005},
MRCLASS = {11F72},
MRNUMBER = {2192011},
MRREVIEWER = {Erez M. Lapid},
ZBLNUMBER = {1152.11021},
} -
[Bad07]
A. I. Badulescu, "Jacquet-Langlands et unitarisabilité," J. Inst. Math. Jussieu, vol. 6, iss. 3, pp. 349-379, 2007.
@article {Bad07, MRKEY = {2329758},
AUTHOR = {Badulescu, Alexandru Ioan},
TITLE = {Jacquet-{L}anglands et unitarisabilité},
JOURNAL = {J. Inst. Math. Jussieu},
FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ. Journal de l'Institut de Mathématiques de Jussieu},
VOLUME = {6},
YEAR = {2007},
NUMBER = {3},
PAGES = {349--379},
ISSN = {1474-7480},
MRCLASS = {20G05 (20G25)},
MRNUMBER = {2329758},
DOI = {10.1017/S1474748007000035},
ZBLNUMBER = {1159.22005},
} -
[Corvallis79b] Automorphic Forms, Representations, and $L$-Functions, Borel, A. and Casselman, Eds., Providence, RI: American. Math. Soc., 1979, vol. 33.2.
@book{Corvallis79b, EDITOR={Borel, A. and Casselman},
TITLE={Automorphic Forms, Representations, and {$L$}-Functions},
SERIES={Proc. of Symp. in Pure Math.},
VOLUME={33.2},
PUBLISHER={American. Math. Soc.},
ADDRESS={Providence, RI},
YEAR={1979},
} -
[Ber93]
V. G. Berkovich, "Étale cohomology for non-Archimedean analytic spaces," Inst. Hautes Études Sci. Publ. Math., iss. 78, pp. 5-161 (1994), 1993.
@article {Ber93, MRKEY = {1259429},
AUTHOR = {Berkovich, Vladimir G.},
TITLE = {\'{E}tale cohomology for non-{A}rchimedean analytic spaces},
JOURNAL = {Inst. Hautes Études Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
NUMBER = {78},
YEAR = {1993},
PAGES = {5--161 (1994)},
ISSN = {0073-8301},
CODEN = {PMIHA6},
MRCLASS = {14F20 (14F30 32C37 32P05)},
MRNUMBER = {1259429},
MRREVIEWER = {W. Bartenwerfer},
URL = {http://www.numdam.org/item?id=PMIHES_1993__78__5_0},
ZBLNUMBER = {0804.32019},
} -
[Bor79] A. Borel, "Automorphic $L$-functions," in Automorphic Forms, Representations and $L$-Functions, Providence, R.I., 1979, pp. 27-61.
@inproceedings {Bor79, MRKEY = {0546608},
AUTHOR = {Borel, A.},
TITLE = {Automorphic {$L$}-functions},
BOOKTITLE = {Automorphic Forms, Representations and {$L$}-Functions},
VENUE={{P}roc. {S}ympos. {P}ure {M}ath., {O}regon {S}tate {U}niv., {C}orvallis, {O}re., 1977},
SERIES = {Proc. Sympos. Pure Math.},
VOLUME={33},
PAGES = {27--61},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1979},
MRCLASS = {10D40 (12A67 22E50)},
MRNUMBER = {0546608},
MRREVIEWER = {Yasuhiro Asoo},
ZBLNUMBER = {0412.10017},
} -
[Boy09]
B. Pascal, "Monodromie du faisceau pervers des cycles évanescents de quelques variétés de Shimura simples," Invent. Math., vol. 177, iss. 2, pp. 239-280, 2009.
@article {Boy09, MRKEY = {2511742},
AUTHOR = {Pascal, Boyer},
TITLE = {Monodromie du faisceau pervers des cycles évanescents de quelques variétés de {S}himura simples},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {177},
YEAR = {2009},
NUMBER = {2},
PAGES = {239--280},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {14G35 (11G18 11G35 11G45 14G22 14L05)},
MRNUMBER = {2511742},
MRREVIEWER = {Ulrich G{ö}rtz},
DOI = {10.1007/s00222-009-0183-9},
ZBLNUMBER = {1172.14016},
} -
[BR89] D. Blasius and D. Ramakrishnan, "Maass forms and Galois representations," in Galois Groups over ${\bf Q}$, New York, 1989, pp. 33-77.
@inproceedings{BR89, MRKEY = {1012167},
AUTHOR = {Blasius, Don and Ramakrishnan, Dinakar},
TITLE = {Maass forms and {G}alois representations},
BOOKTITLE = {Galois Groups over {${\bf Q}$}},
VENUE={{B}erkeley, {CA},
1987},
SERIES = {Math. Sci. Res. Inst. Publ.},
VOLUME = {16},
PAGES = {33--77},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1989},
MRCLASS = {11F70 (11F80 11G40)},
MRNUMBER = {1012167},
MRREVIEWER = {Stephen Gelbart},
ZBLNUMBER = {0699.10043},
} -
[BR93]
D. Blasius and J. D. Rogawski, "Motives for Hilbert modular forms," Invent. Math., vol. 114, iss. 1, pp. 55-87, 1993.
@article {BR93, MRKEY = {1235020},
AUTHOR = {Blasius, Don and Rogawski, Jonathan D.},
TITLE = {Motives for {H}ilbert modular forms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {114},
YEAR = {1993},
NUMBER = {1},
PAGES = {55--87},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {11F41 (11F70 11G09 14G10 14G35)},
MRNUMBER = {1235020},
MRREVIEWER = {Jan Nekov{á}{\v{r}}},
DOI = {10.1007/BF01232663},
ZBLNUMBER = {0829.11028},
} -
[BW00] A. Borel and N. Wallach, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, 2nd. Edition, Providence, RI: Amer. Math. Soc., 2000, vol. 67.
@book {BW00, MRKEY = {1721403},
AUTHOR = {Borel, A. and Wallach, N.},
TITLE = {Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, 2nd. Edition},
SERIES = {Math. Surveys Monogr.},
VOLUME = {67},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2000},
PAGES = {xviii+260},
ISBN = {0-8218-0851-6},
MRCLASS = {22E41 (22-02 22E40 22E45 57T15)},
MRNUMBER = {1721403},
MRREVIEWER = {F. E. A. Johnson},
ZBLNUMBER = {0980.22015},
} -
[BZ77]
I. N. Bernstein and A. V. Zelevinsky, "Induced representations of reductive $\mathfrak{p}$-adic groups. I," Ann. Sci. École Norm. Sup., vol. 10, iss. 4, pp. 441-472, 1977.
@article {BZ77, MRKEY = {0579172},
AUTHOR = {Bernstein, I. N. and Zelevinsky, A. V.},
TITLE = {Induced representations of reductive {$\mathfrak{p}$}-adic groups. {I}},
JOURNAL = {Ann. Sci. École Norm. Sup.},
FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
VOLUME = {10},
YEAR = {1977},
NUMBER = {4},
PAGES = {441--472},
ISSN = {0012-9593},
MRCLASS = {22E50},
MRNUMBER = {0579172},
URL = {http://www.numdam.org/item?id=ASENS_1977_4_10_4_441_0},
ZBLNUMBER = {0412.22015},
} -
[Car90] H. Carayol, "Non-abelian Lubin-Tate theory," in Automorphic forms, Shimura varieties, and $L$-functions, Vol. II, Boston, MA, 1990, pp. 15-39.
@inproceedings{Car90,
author = {Carayol, H.},
TITLE = {Non-abelian {L}ubin-{T}ate theory},
BOOKTITLE = {Automorphic forms, {S}himura varieties, and {$L$}-functions, {V}ol. {\rm II}},
VENUE={{A}nn {A}rbor, {MI},
1988},
SERIES = {Perspect. Math.},
VOLUME = {11},
PAGES = {15--39},
PUBLISHER = {Academic Press},
ADDRESS = {Boston, MA},
YEAR = {1990},
ZBL = {0704.11049},
MRCLASS = {11S37 (11F70 11G25 11S31)},
MRNUMBER = {1044827},
ZBLNUMBER = {0704.11049},
MRREVIEWER = {Glenn Stevens},
} -
[CD90]
L. Clozel and P. Delorme, "Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs. II," Ann. Sci. École Norm. Sup., vol. 23, iss. 2, pp. 193-228, 1990.
@article {CD90, MRKEY = {1046496},
AUTHOR = {Clozel, Laurent and Delorme, Patrick},
TITLE = {Le théorème de {P}aley-{W}iener invariant pour les groupes de {L}ie réductifs. {II}},
JOURNAL = {Ann. Sci. École Norm. Sup.},
FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
VOLUME = {23},
YEAR = {1990},
NUMBER = {2},
PAGES = {193--228},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {22E30 (22E45 22E47)},
MRNUMBER = {1046496},
MRREVIEWER = {Michael Cowling},
URL = {http://www.numdam.org/item?id=ASENS_1990_4_23_2_193_0},
ZBLNUMBER = {0724.22012},
} -
@misc{CH,
author={Chenevier, G. and Harris, M.},
TITLE={Construction of automorphic {G}alois representations, {II}},
URL={http://people.math.jussieu.fr/~harris/ConstructionII.pdf},
} -
[CHL2]
L. Clozel, M. Harris, and J. -P. Labesse, Construction of automorphic Galois representations, I.
@misc{CHL2,
author={Clozel, Laurent and Harris, M. and Labesse, J.-P.},
TITLE={Construction of automorphic {G}alois representations, {I}},
URL={http://www.institut.math.jussieu.fr/projets/fa/bpFiles/CloHarLab.pdf},
} -
@misc{CHL1,
author={Clozel, Laurent and Harris, M. and Labesse, J.-P.},
TITLE={Endoscopic transfer},
URL={http://www.institut.math.jussieu.fr/projets/fa/bpFiles/EndoTrans.pdf},
} -
[CL99] L. Clozel and J. -P. Labesse, Changement de base pour les représentations cohomologiques des certaines groupes unitaires, 1999.
@misc{CL99,
author={Clozel, Laurent and Labesse, J.-P.},
TITLE={Changement de base pour les représentations cohomologiques des certaines groupes unitaires},
NOTE={appendix to \cite{Lab99}},
YEAR={1999},
} -
@misc{Clo,
author={Clozel, Laurent},
TITLE={Identités de caractères en la place archimédienne},
URL={http://www.institut.math.jussieu.fr/projets/fa/bpFiles/Clozel.pdf},
} -
[Clo84] L. Clozel, "Théorème d’Atiyah-Bott pour les variétés $\mathfrak{ p}$-adiques et caractères des groupes réductifs," Mém. Soc. Math. France (N.S.), vol. 15, pp. 39-64, 1984.
@article{Clo84,
author={Clozel, Laurent},
TITLE = {Théorème d'{A}tiyah-{B}ott pour les variétés {$\mathfrak{ p}$}-adiques et caractères des groupes réductifs},
NOTE = {Harmonic analysis on {L}ie groups and symmetric spaces ({K}leebach, 1983)},
JOURNAL = {Mém. Soc. Math. France (N.S.)},
FJOURNAL = {Mémoires de la Société Mathématique de France. Nouvelle Série},
VOLUME = {15},
YEAR = {1984},
PAGES = {39--64},
ISSN = {0037-9484},
ZBLNUMBER = {0555.22003},
MRCLASS = {22E50 (11Q25 11S37)},
MRNUMBER = {0789080},
MRREVIEWER = {Joe Repka},
} -
[Clo90] L. Clozel, "Motifs et formes automorphes: Applications du principe de fontorialité," in Automorphic Forms, Shimura Varieties, and $L$-Functions, Vol. I, Boston, MA, 1990, pp. 77-160.
@inproceedings{Clo90,
author={Clozel, Laurent},
TITLE={Motifs et formes automorphes: Applications du principe de fontorialité},
BOOKTITLE = {Automorphic Forms, {S}himura Varieties, and {$L$}-Functions, {V}ol. {\rm I}},
VENUE={{A}nn {A}rbor, {MI},
1988},
SERIES = {Perspect. Math.},
VOLUME = {10},
PAGES = {77--160},
PUBLISHER = {Academic Press},
ADDRESS = {Boston, MA},
YEAR = {1990},
ZBL = {0705.11029},
MRCLASS = {11F70 (11F75 11F80 11R39 22E55)},
MRNUMBER = {1044819},
ZBLNUMBER = {0705.11029},
MRREVIEWER = {Ernst-Wilhelm Zink},
} -
[Clo91]
L. Clozel, "Représentations galoisiennes associees aux représentations automorphes autoduales de ${ GL}(n)$," Inst. Hautes Études Sci. Publ. Math., vol. 73, pp. 97-145, 1991.
@article{Clo91,
author={Clozel, Laurent},
TITLE={Représentations galoisiennes associees aux représentations automorphes autoduales de {${\rm GL}(n)$}},
JOURNAL = {Inst. Hautes Études Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
VOLUME = {73},
YEAR = {1991},
PAGES = {97--145},
ISSN = {0073-8301},
ZBL = {0739.11020},
CODEN = {PMIHA6},
MRCLASS = {11F70 (11F80 11R39 22E55)},
MRNUMBER = {1114211},
MRREVIEWER = {David Manderscheid},
URL = {http://www.numdam.org/item?id=PMIHES_1991__73__97_0},
} -
[AnnArbor90] Automorphic Forms, Shimura Varieties, and $L$-Functions, Clozel, L. and Milne, J., Eds., Ann Arbor: Academic Press, 1990, vol. 10.
@book{AnnArbor90, EDITOR={Clozel, Laurent and Milne, J.},
TITLE={Automorphic Forms, {S}himura Varieties, and {$L$}-Functions},
SERIES={Perspectives in Math.},
VOLUME={10},
PUBLISHER={Academic Press},
ADDRESS={Ann Arbor},
YEAR={1990},
} -
[DKV84] P. Deligne, D. Kazhdan, and M. -F. Vignéras, "Représentations des algèbres centrales simples $p$-adiques," in Representations of Reductive Groups over a Local Field, Paris: Hermann, 1984, pp. 33-117.
@incollection {DKV84, MRKEY = {0771672},
AUTHOR = {Deligne, P. and Kazhdan, D. and Vign{é}ras, M.-F.},
TITLE = {Représentations des algèbres centrales simples {$p$}-adiques},
BOOKTITLE = {Representations of Reductive Groups over a Local Field},
SERIES = {Travaux en Cours},
PAGES = {33--117},
PUBLISHER = {Hermann},
ADDRESS = {Paris},
YEAR = {1984},
MRCLASS = {11F70 (11F72 11S37 16A64 22E50)},
MRNUMBER = {0771672},
MRREVIEWER = {Joe Repka},
ZBLNUMBER = {0583.22009},
} -
[DM08]
P. Delorme and P. Mezo, "A twisted invariant Paley-Wiener theorem for real reductive groups," Duke Math. J., vol. 144, iss. 2, pp. 341-380, 2008.
@article {DM08, MRKEY = {2437683},
AUTHOR = {Delorme, Patrick and Mezo, Paul},
TITLE = {A twisted invariant {P}aley-{W}iener theorem for real reductive groups},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {144},
YEAR = {2008},
NUMBER = {2},
PAGES = {341--380},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {22E45 (22E30 22E47)},
MRNUMBER = {2437683},
MRREVIEWER = {Daniel Belti{\c{t}}{\u{a}}},
DOI = {10.1215/00127094-2008-039},
ZBLNUMBER = {1189.22005},
} -
[Far04] L. Fargues, "Cohomologie des espaces de modules de groupes $p$-divisibles et correspondances de Langlands locales," Astérisque, vol. 291, pp. 1-199, 2004.
@article {Far04, MRKEY = {2074714},
AUTHOR = {Fargues, Laurent},
TITLE = {Cohomologie des espaces de modules de groupes {$p$}-divisibles et correspondances de {L}anglands locales},
JOURNAL = {Astérisque},
FJOURNAL = {Astérisque},
VOLUME = {291},
YEAR = {2004},
PAGES = {1--199},
ISSN = {0303-1179},
MRCLASS = {11G18 (11S37 14G32 14G35 14L05)},
MRNUMBER = {2074714},
MRREVIEWER = {James Milne},
ZBLNUMBER = {pre02130511},
} -
[Hal93] T. C. Hales, "A simple definition of transfer factors for unramified groups," in Representation Theory of Groups and Algebras, Providence, RI: Amer. Math. Soc., 1993, vol. 145, pp. 109-134.
@incollection {Hal93, MRKEY = {1216184},
AUTHOR = {Hales, Thomas C.},
TITLE = {A simple definition of transfer factors for unramified groups},
BOOKTITLE = {Representation Theory of Groups and Algebras},
SERIES = {Contemp. Math.},
VOLUME = {145},
PAGES = {109--134},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1993},
MRCLASS = {22E35 (11S31)},
MRNUMBER = {1216184},
MRREVIEWER = {Ion D. Teodorescu},
ZBLNUMBER = {0828.22015},
} -
[Hal95]
T. C. Hales, "On the fundamental lemma for standard endoscopy: reduction to unit elements," Canad. J. Math., vol. 47, iss. 5, pp. 974-994, 1995.
@article {Hal95, MRKEY = {1350645},
AUTHOR = {Hales, Thomas C.},
TITLE = {On the fundamental lemma for standard endoscopy: reduction to unit elements},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Mathématiques},
VOLUME = {47},
YEAR = {1995},
NUMBER = {5},
PAGES = {974--994},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {22E50 (20C05 22E35)},
MRNUMBER = {1350645},
MRREVIEWER = {Mark Reeder},
DOI = {10.4153/CJM-1995-051-5},
ZBLNUMBER = {0840.22032},
} -
[Har01] M. Harris, "Local Langlands correspondences and vanishing cycles on Shimura varieties," in European Congress of Mathematics, Vol. I, Basel, 2001, pp. 407-427.
@inproceedings{Har01, MRKEY = {1905332},
AUTHOR = {Harris, Michael},
TITLE = {Local {L}anglands correspondences and vanishing cycles on {S}himura varieties},
BOOKTITLE = {European {C}ongress of {M}athematics, {V}ol. {{\rm I}}},
VENUE={{B}arcelona, 2000},
SERIES = {Progr. Math.},
VOLUME = {201},
PAGES = {407--427},
PUBLISHER = {Birkhäuser},
ADDRESS = {Basel},
YEAR = {2001},
MRCLASS = {11G18 (11S37 14G35 22E50)},
MRNUMBER = {1905332},
MRREVIEWER = {Amnon Besser},
ZBLNUMBER = {1025.11038},
} -
[Har05] M. Harris, "The local Langlands correspondence: notes of (half) a course at the IHP Spring 2000," Astérisque, vol. 298, pp. 17-145, 2005.
@article{Har05,
author = {Harris, Michael},
TITLE={The local {L}anglands correspondence: notes of (half) a course at the {IHP} {S}pring 2000},
JOURNAL={Astérisque},
VOLUME={298},
YEAR={2005},
PAGES={17--145},
MRNUMBER = {1905332},
ZBLNUMBER = {1025.11038},
} -
[Hen00]
G. Henniart, "Une preuve simple des conjectures de Langlands pour ${ GL}(n)$ sur un corps $p$-adique," Invent. Math., vol. 139, iss. 2, pp. 439-455, 2000.
@article {Hen00, MRKEY = {1738446},
AUTHOR = {Henniart, Guy},
TITLE = {Une preuve simple des conjectures de {L}anglands pour {${\rm GL}(n)$} sur un corps {$p$}-adique},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {139},
YEAR = {2000},
NUMBER = {2},
PAGES = {439--455},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {11F70 (11R39 11S37 22E50 22E55)},
MRNUMBER = {1738446},
MRREVIEWER = {Dihua Jiang},
DOI = {10.1007/s002220050012},
ZBLNUMBER = {1048.11092},
} -
[HG94] M. J. Hopkins and B. H. Gross, "Equivariant vector bundles on the Lubin-Tate moduli space," in Topology and Representation Theory, Providence, RI, 1994, pp. 23-88.
@inproceedings {HG94, MRKEY = {1263712},
AUTHOR = {Hopkins, M. J. and Gross, B. H.},
TITLE = {Equivariant vector bundles on the {L}ubin-{T}ate moduli space},
BOOKTITLE = {Topology and Representation Theory},
VENUE={{E}vanston, {IL},
1992},
SERIES = {Contemp. Math.},
VOLUME = {158},
PAGES = {23--88},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {14L05 (11S31 12H25 55R91)},
MRNUMBER = {1263712},
MRREVIEWER = {Burt Totaro},
ZBLNUMBER = {0807.14037},
} -
[HT01] M. Harris and R. Taylor, The Geometry and Cohomology of Some Simple Shimura Varieties, Princeton, NJ: Princeton Univ. Press, 2001, vol. 151.
@book {HT01, MRKEY = {1876802},
AUTHOR = {Harris, Michael and Taylor, Richard},
TITLE = {The Geometry and Cohomology of Some Simple {S}himura Varieties},
SERIES = {Annals of Math. Stud.},
VOLUME = {151},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, NJ},
YEAR = {2001},
PAGES = {viii+276},
ISBN = {0-691-09090-4},
MRCLASS = {11G18 (11F70 11S37 14G35 22E45)},
MRNUMBER = {1876802},
MRREVIEWER = {James Milne},
ZBLNUMBER = {1036.11027},
} -
[JS81a]
H. Jacquet and J. A. Shalika, "On Euler products and the classification of automorphic representations. I," Amer. J. Math., vol. 103, iss. 3, pp. 499-558, 1981.
@article {JS81a, MRKEY = {0618323},
AUTHOR = {Jacquet, H. and Shalika, J. A.},
TITLE = {On {E}uler products and the classification of automorphic representations. {I}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {103},
YEAR = {1981},
NUMBER = {3},
PAGES = {499--558},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {10D40 (12A67 22E55)},
MRNUMBER = {0618323},
MRREVIEWER = {Freydoon Shahidi},
DOI = {10.2307/2374103},
ZBLNUMBER = {0473.12008},
} -
[JS81b]
H. Jacquet and J. A. Shalika, "On Euler products and the classification of automorphic forms. II," Amer. J. Math., vol. 103, iss. 4, pp. 777-815, 1981.
@article {JS81b, MRKEY = {0623137},
AUTHOR = {Jacquet, H. and Shalika, J. A.},
TITLE = {On {E}uler products and the classification of automorphic forms. {II}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {103},
YEAR = {1981},
NUMBER = {4},
PAGES = {777--815},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {10D40 (12A67 22E55)},
MRNUMBER = {0623137},
MRREVIEWER = {Freydoon Shahidi},
DOI = {10.2307/2374050},
ZBLNUMBER = {0491.10020},
} -
[Kna94] A. W. Knapp, "Local Langlands correspondence: the Archimedean case," in Motives, Providence, RI, 1994, pp. 393-410.
@inproceedings{Kna94, MRKEY = {1265560},
AUTHOR = {Knapp, A. W.},
TITLE = {Local {L}anglands correspondence: the {A}rchimedean case},
BOOKTITLE = {Motives},
VENUE={{S}eattle, {WA},
1991},
SERIES = {Proc. Sympos. Pure Math.},
VOLUME = {55},
PAGES = {393--410},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {11F70 (11R39 11S37 22E50)},
MRNUMBER = {1265560},
MRREVIEWER = {Stephen Gelbart},
ZBLNUMBER = {0811.11071},
} -
[Kot83]
R. E. Kottwitz, "Sign changes in harmonic analysis on reductive groups," Trans. Amer. Math. Soc., vol. 278, iss. 1, pp. 289-297, 1983.
@article {Kot83, MRKEY = {0697075},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Sign changes in harmonic analysis on reductive groups},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {278},
YEAR = {1983},
NUMBER = {1},
PAGES = {289--297},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {22E35 (22E30)},
MRNUMBER = {0697075},
MRREVIEWER = {Martin L. Karel},
DOI = {10.2307/1999316},
ZBLNUMBER = {0538.22010},
} -
[Kot84a]
R. E. Kottwitz, "Stable trace formula: cuspidal tempered terms," Duke Math. J., vol. 51, iss. 3, pp. 611-650, 1984.
@article {Kot84a, MRKEY = {0757954},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Stable trace formula: cuspidal tempered terms},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {51},
YEAR = {1984},
NUMBER = {3},
PAGES = {611--650},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {11R39 (11F70 11F72 22E55)},
MRNUMBER = {0757954},
MRREVIEWER = {Jean-Pierre Labesse},
DOI = {10.1215/S0012-7094-84-05129-9},
ZBLNUMBER = {0576.22020},
} -
[Kot85]
R. E. Kottwitz, "Isocrystals with additional structure," Compositio Math., vol. 56, iss. 2, pp. 201-220, 1985.
@article {Kot85, MRKEY = {0809866},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Isocrystals with additional structure},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {56},
YEAR = {1985},
NUMBER = {2},
PAGES = {201--220},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {14L25 (14F30 14L15 20G25)},
MRNUMBER = {0809866},
MRREVIEWER = {K. F. Lai},
URL = {http://www.numdam.org/item?id=CM_1985__56_2_201_0},
ZBLNUMBER = {0597.20038},
} -
[Kot86]
R. E. Kottwitz, "Stable trace formula: elliptic singular terms," Math. Ann., vol. 275, iss. 3, pp. 365-399, 1986.
@article {Kot86, MRKEY = {0858284},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Stable trace formula: elliptic singular terms},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {275},
YEAR = {1986},
NUMBER = {3},
PAGES = {365--399},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {22E55 (11F70 11F72)},
MRNUMBER = {0858284},
MRREVIEWER = {J. Szmidt},
DOI = {10.1007/BF01458611},
ZBLNUMBER = {0577.10028},
} -
@article {Kot88, MRKEY = {0942522},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Tamagawa numbers},
JOURNAL = {Ann. of Math.},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {127},
YEAR = {1988},
NUMBER = {3},
PAGES = {629--646},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {11F70 (11E72 22E55)},
MRNUMBER = {0942522},
MRREVIEWER = {Stephen Gelbart},
DOI = {10.2307/2007007},
ZBLNUMBER = {0678.22012},
} -
[Kot90] R. E. Kottwitz, "Shimura varieties and $\lambda$-adic representations," in Automorphic Forms, Shimura Varieties, and $L$-Functions, Vol. I, Boston, MA, 1990, pp. 161-209.
@inproceedings{Kot90, MRKEY = {1044820},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Shimura varieties and {$\lambda$}-adic representations},
BOOKTITLE = {Automorphic Forms, {S}himura Varieties, and {$L$}-Functions, {V}ol. {{\rm I}}},
VENUE={{A}nn {A}rbor, {MI},
1988},
SERIES = {Perspect. Math.},
VOLUME = {10},
PAGES = {161--209},
PUBLISHER = {Academic Press},
ADDRESS = {Boston, MA},
YEAR = {1990},
MRCLASS = {11G18 (11F70 11R39)},
MRNUMBER = {1044820},
ZBLNUMBER = {0743.14019},
} -
[Kot92b]
R. E. Kottwitz, "On the $\lambda$-adic representations associated to some simple Shimura varieties," Invent. Math., vol. 108, iss. 3, pp. 653-665, 1992.
@article {Kot92b, MRKEY = {1163241},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {On the {$\lambda$}-adic representations associated to some simple {S}himura varieties},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {108},
YEAR = {1992},
NUMBER = {3},
PAGES = {653--665},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {11G18 (11F70 11F85 14G35 22E55)},
MRNUMBER = {1163241},
MRREVIEWER = {Min Ho Lee},
DOI = {10.1007/BF02100620},
ZBLNUMBER = {0765.22011},
} -
[Kot92a]
R. E. Kottwitz, "Points on some Shimura varieties over finite fields," J. Amer. Math. Soc., vol. 5, iss. 2, pp. 373-444, 1992.
@article {Kot92a, MRKEY = {1124982},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Points on some {S}himura varieties over finite fields},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {5},
YEAR = {1992},
NUMBER = {2},
PAGES = {373--444},
ISSN = {0894-0347},
MRCLASS = {11G18 (11G25 14G10 14G35)},
MRNUMBER = {1124982},
MRREVIEWER = {Min Ho Lee},
DOI = {10.2307/2152772},
ZBLNUMBER = {0796.14014},
} -
[KR00]
R. E. Kottwitz and J. D. Rogawski, "The distributions in the invariant trace formula are supported on characters," Canad. J. Math., vol. 52, iss. 4, pp. 804-814, 2000.
@article {KR00, MRKEY = {1767403},
AUTHOR = {Kottwitz, Robert E. and Rogawski, Jonathan D.},
TITLE = {The distributions in the invariant trace formula are supported on characters},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Mathématiques},
VOLUME = {52},
YEAR = {2000},
NUMBER = {4},
PAGES = {804--814},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {11S37 (11F72)},
MRNUMBER = {1767403},
MRREVIEWER = {Goran Mui{ć}},
DOI = {10.4153/CJM-2000-034-6},
ZBLNUMBER = {0991.22014},
} -
[KS99] R. E. Kottwitz and D. Shelstad, "Foundations of twisted endoscopy," Astérisque, vol. 255, p. vi, 1999.
@article {KS99, MRKEY = {1687096},
AUTHOR = {Kottwitz, Robert E. and Shelstad, Diana},
TITLE = {Foundations of twisted endoscopy},
JOURNAL = {Astérisque},
FJOURNAL = {Astérisque},
VOLUME = {255},
NOTE={Soc. Math. France, Paris},
YEAR = {1999},
PAGES = {vi+190},
ISSN = {0303-1179},
MRCLASS = {22E55 (11F70 11R34 22-02 22E50)},
MRNUMBER = {1687096},
ZBLNUMBER = {0958.22013},
MRREVIEWER = {Volker J. Heiermann},
} -
@misc{Lab,
author={Labesse, J.-P.},
TITLE = {Changement de base {CM} et séries discrètes},
URL={http://www.institut.math.jussieu.fr/projets/fa/bpFiles/Labesse2.pdf},
} -
[Lab91]
J. -P. Labesse, "Pseudo-coefficients très cuspidaux et $K$-théorie," Math. Ann., vol. 291, iss. 4, pp. 607-616, 1991.
@article {Lab91, MRKEY = {1135534},
AUTHOR = {Labesse, J.-P.},
TITLE = {Pseudo-coefficients très cuspidaux et {$K$}-théorie},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {291},
YEAR = {1991},
NUMBER = {4},
PAGES = {607--616},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {22E46 (19K99 22E41)},
MRNUMBER = {1135534},
MRREVIEWER = {Jeffrey Fox},
DOI = {10.1007/BF01445230},
ZBLNUMBER = {0789.22028},
} -
[Lab99] J. -P. Labesse, "Cohomologie, stabilisation et changement de base," Astérisque, vol. 257, p. vi, 1999.
@article{Lab99,
author = {Labesse, J.-P.},
TITLE = {Cohomologie, stabilisation et changement de base},
JOURNAL = {Astérisque},
FJOURNAL = {Astérisque},
VOLUME = {257},
YEAR = {1999},
PAGES = {vi+161},
ISSN = {0303-1179},
ZBL = {1024.11034},
MRCLASS = {22E55 (11F70 18G30)},
MRNUMBER = {1695940},
MRREVIEWER = {Nguy{\cftil{e}}n Qu{ô}c Th{á}ng},
} -
[Lan83] R. P. Langlands, Les Débuts d’une Formule des Traces Stable, Paris: Université de Paris VII U.E.R. de Mathématiques, 1983, vol. 13.
@book {Lan83, MRKEY = {0697567},
AUTHOR = {Langlands, R. P.},
TITLE = {Les Débuts d'une Formule des Traces Stable},
SERIES = {Publications Math. Univ. Paris {\rm VII}},
VOLUME = {13},
PUBLISHER = {Université de Paris VII U.E.R. de Mathématiques},
ADDRESS = {Paris},
YEAR = {1983},
PAGES = {v+188},
MRCLASS = {11F70 (11F72 11R39 22E55)},
MRNUMBER = {0697567},
MRREVIEWER = {Joe Repka},
ZBLCOMMENT = {BIBPROC: YEAR doesn't match found ZBLNUMBER},
ZBLNUMBER = {0532.22017},
} -
[Lan88] R. P. Langlands, "On the classification of irreducible representations of real algebraic groups," in Representation Theory and Harmonic Analysis on Semisimple Lie Groups, Providence, RI: Amer. Math. Soc., 1989, vol. 31, pp. 101-170.
@incollection{Lan88,
author = {Langlands, R. P.},
TITLE = {On the classification of irreducible representations of real algebraic groups},
BOOKTITLE={Representation Theory and Harmonic Analysis on Semisimple Lie Groups},
SERIES={Math. Surv. Monogr.},
VOLUME={31},
PAGES={101--170},
PUBLISHER={Amer. Math. Soc.},
ADDRESS={Providence, RI},
MRNUMBER={1011897},
ZBLNUMBER={0741.22009},
YEAR={1989},
} -
[Lan08] K. -W. Lan, Arithmetic compactifications of PEL-type Shimura varieties, 2008.
@misc{Lan08,
author={Lan, K.-W.},
TITLE={Arithmetic compactifications of {PEL}-type {S}himura varieties},
NOTE={Ph.D. thesis, Harvard University},
YEAR={2008},
} -
[LN08]
G. Laumon and B. C. Ngô, "Le lemme fondamental pour les groupes unitaires," Ann. of Math., vol. 168, iss. 2, pp. 477-573, 2008.
@article {LN08, MRKEY = {2434884},
AUTHOR = {Laumon, G{é}rard and Ng{ô},
Bao Ch{â}u},
TITLE = {Le lemme fondamental pour les groupes unitaires},
JOURNAL = {Ann. of Math.},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {168},
YEAR = {2008},
NUMBER = {2},
PAGES = {477--573},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {22E50 (11F72)},
MRNUMBER = {2434884},
MRREVIEWER = {Anne-Marie H. Aubert},
DOI = {10.4007/annals.2008.168.477},
ZBLNUMBER = {1179.22019},
} -
[Montreal92] The Zeta Functions of Picard Modular Surfaces, Langlands, R. P. and Ramakrishnan, D., Eds., Montréal, QC: Univ. Montréal Press, 1992.
@book{Montreal92, EDITOR={Langlands, R. P. and Ramakrishnan, D},
TITLE={The Zeta Functions of {P}icard Modular Surfaces},
SERIES={Centre de Recherches Math.},
PUBLISHER={Univ. Montréal Press},
YEAR={1992},
ADDRESS={Montréal, QC},
MRNUMBER = {1155230},
ZBLNUMBER = {0752.00024},
} -
[LS87]
R. P. Langlands and D. Shelstad, "On the definition of transfer factors," Math. Ann., vol. 278, iss. 1-4, pp. 219-271, 1987.
@article {LS87, MRKEY = {0909227},
AUTHOR = {Langlands, R. P. and Shelstad, D.},
TITLE = {On the definition of transfer factors},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {278},
YEAR = {1987},
NUMBER = {1-4},
PAGES = {219--271},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {11S37 (11F70 11F72 22E35 22E45 22E50)},
MRNUMBER = {0909227},
MRREVIEWER = {Ernst-Wilhelm Zink},
DOI = {10.1007/BF01458070},
ZBLNUMBER = {0644.22005},
} -
[LS90] R. P. Langlands and D. Shelstad, "Descent for transfer factors," in The Grothendieck Festschrift, Vol. II, Boston, MA: Birkhäuser, 1990, vol. 87, pp. 485-563.
@incollection {LS90, MRKEY = {1106907},
AUTHOR = {Langlands, R. P. and Shelstad, D.},
TITLE = {Descent for transfer factors},
BOOKTITLE = {The {G}rothendieck {F}estschrift, {V}ol. {\rm II}},
SERIES = {Progr. Math.},
VOLUME = {87},
PAGES = {485--563},
PUBLISHER = {Birkhäuser},
ADDRESS = {Boston, MA},
YEAR = {1990},
MRCLASS = {22E50 (11S37)},
MRNUMBER = {1106907},
MRREVIEWER = {Ernst-Wilhelm Zink},
ZBLNUMBER = {0743.22009},
} -
[Man]
E. Mantovan, $l$-adic étale cohomology of PEL type shimura varieties with non-trivial coefficients.
@misc{Man,
author={Mantovan, Elena},
TITLE={$l$-adic étale cohomology of {PEL} type shimura varieties with non-trivial coefficients},
URL={http://www.its.caltech.edu/~mantovan/papers/WIN.pdf},
} -
[Man04] E. Mantovan, "On certain unitary group Shimura varieties," Astérisque, vol. 291, pp. 201-331, 2004.
@article{Man04,
author={Mantovan, Elena},
TITLE={On certain unitary group {S}himura varieties},
NOTE = {Vari{é}t{é}s de {S}himura, espaces de {R}apoport-{Z}ink et correspondances de {L}anglands locales},
JOURNAL = {Astérisque},
FJOURNAL = {Astérisque},
VOLUME = {291},
YEAR = {2004},
PAGES = {201--331},
ISSN = {0303-1179},
ZBL = {1062.11036},
MRCLASS = {11G18 (11S37 14G35)},
MRNUMBER = {2074715},
MRREVIEWER = {James Milne},
} -
[Man05]
E. Mantovan, "On the cohomology of certain PEL-type Shimura varieties," Duke Math. J., vol. 129, iss. 3, pp. 573-610, 2005.
@article {Man05, MRKEY = {2169874},
AUTHOR = {Mantovan, Elena},
TITLE = {On the cohomology of certain {PEL}-type {S}himura varieties},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {129},
YEAR = {2005},
NUMBER = {3},
PAGES = {573--610},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {11G18 (11F70 14G35 14L05)},
MRNUMBER = {2169874},
MRREVIEWER = {Ulrich G{ö}rtz},
DOI = {10.1215/S0012-7094-05-12935-0},
ZBLNUMBER = {1112.11033},
} -
[Man08] E. Mantovan, "On non-basic Rapoport-Zink spaces," Ann. Sci. Éc. Norm. Supér., vol. 41, iss. 5, pp. 671-716, 2008.
@article {Man08, MRKEY = {2504431},
AUTHOR = {Mantovan, Elena},
TITLE = {On non-basic {R}apoport-{Z}ink spaces},
JOURNAL = {Ann. Sci. Éc. Norm. Supér.},
FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
VOLUME = {41},
YEAR = {2008},
NUMBER = {5},
PAGES = {671--716},
ISSN = {0012-9593},
MRCLASS = {11S37 (11G09 14G22)},
MRNUMBER = {2504431},
MRREVIEWER = {Dipendra Prasad},
ZBLNUMBER = {05544515},
} -
@misc{Min,
author={Minguez, A.},
TITLE={Unramified representations of unitary groups},
URL={http://www.institut.math.jussieu.fr/projets/fa/bpFiles/Minguez.pdf},
} -
[Mor05] S. Morel, Complexes d’intersection des compactifications de Baily-Borel: le cas des groupes unitaires sur $\mathbb{Q}$, 2005.
@misc{Mor05,
author={Morel, Sophie},
TITLE={Complexes d'intersection des compactifications de {B}aily-{B}orel: le cas des groupes unitaires sur $\mathbb{Q}$},
NOTE={theèse de doctorat de l'université {P}aris 11},
YEAR={2005},
} -
[Mor08]
S. Morel, "Complexes pondérés sur les compactifications de Baily-Borel: le cas des variétés de Siegel," J. Amer. Math. Soc., vol. 21, iss. 1, pp. 23-61, 2008.
@article {Mor08, MRKEY = {2350050},
AUTHOR = {Morel, Sophie},
TITLE = {Complexes pondérés sur les compactifications de {B}aily-{B}orel: le cas des variétés de {S}iegel},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {21},
YEAR = {2008},
NUMBER = {1},
PAGES = {23--61},
ISSN = {0894-0347},
MRCLASS = {11F75 (11G18 14G35)},
MRNUMBER = {2350050},
MRREVIEWER = {Min Ho Lee},
DOI = {10.1090/S0894-0347-06-00538-8},
ZBLNUMBER = {05207715},
} -
[Mor10] S. Morel, On the Cohomology of Certain Non-Compact Shimura Varieties, Princeton, NJ: Princeton Univ. Press, 2010, vol. 173.
@book{Mor10,
author = {Morel, Sophie},
TITLE = {On the Cohomology of Certain Non-Compact {S}himura Varieties},
NOTE = {with an appendix by {R}obert {K}ottwitz},
SERIES={Ann. of Math. Stud.},
VOLUME={173},
YEAR={2010},
PUBLISHER={Princeton Univ. Press},
ADDRESS={Princeton, NJ},
PAGES = {xii+217},
ZBL = {pre05666024},
ISBN = {978-0-691-14293-7},
MRCLASS = {22Exx (11F75 11G18 14Gxx)},
MRNUMBER = {2567740},
ZBLNUMBER = {pre05666024},
} -
[MW89]
C. Moeglin and J. -L. Waldspurger, "Le spectre résiduel de ${ GL}(n)$," Ann. Sci. École Norm. Sup., vol. 22, iss. 4, pp. 605-674, 1989.
@article {MW89, MRKEY = {1026752},
AUTHOR = {M{\oe}glin, C. and Waldspurger, J.-L.},
TITLE = {Le spectre résiduel de {${\rm GL}(n)$}},
JOURNAL = {Ann. Sci. École Norm. Sup.},
FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
VOLUME = {22},
YEAR = {1989},
NUMBER = {4},
PAGES = {605--674},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {22E55 (11F70 22E50)},
MRNUMBER = {1026752},
MRREVIEWER = {Stephen Gelbart},
URL = {http://www.numdam.org/item?id=ASENS_1989_4_22_4_605_0},
ZBLNUMBER = {0696.10023},
} -
[Ngo] B. C. Ngô, "Le lemme fondamental pour les algèbres de Lie," Publ. Math. Inst. Hautes Études Sci., vol. 111, pp. 1-169, 2010.
@article{Ngo,
author={Ng{ô},
B. C.},
TITLE={Le lemme fondamental pour les algèbres de {L}ie},
JOURNAL={Publ. Math. Inst. Hautes Études Sci.},
VOLUME={111},
YEAR={2010},
PAGES={1--169},
MRNUMBER = {2653248},
ZBLNUMBER = {1200.22001},
} -
[Ono66] T. Ono, "On Tamagawa numbers," in Algebraic Groups and Discontinuous Subgroups, Providence, R.I., 1966, pp. 122-132.
@inproceedings {Ono66, MRKEY = {0209290},
AUTHOR = {Ono, Takashi},
TITLE = {On {T}amagawa numbers},
BOOKTITLE = {Algebraic {G}roups and {D}iscontinuous {S}ubgroups},
VENUE={{P}roc. {S}ympos. {P}ure {M}ath., {B}oulder, {C}olo., 1965},
PAGES = {122--132},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1966},
MRCLASS = {14.50},
MRNUMBER = {0209290},
MRREVIEWER = {T. A. Springer},
ZBLNUMBER = {0223.20050},
} -
[Rap95] M. Rapoport, "Non-Archimedean period domains," in Proceedings of the International Congress of Mathematicians, Vol. 1, 2, Basel, 1995, pp. 423-434.
@inproceedings {Rap95, MRKEY = {1403942},
AUTHOR = {Rapoport, Michael},
TITLE = {Non-{A}rchimedean period domains},
BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol. 1, 2},
VENUE={{Z}ürich, 1994},
PAGES = {423--434},
PUBLISHER = {Birkhäuser},
ADDRESS = {Basel},
YEAR = {1995},
MRCLASS = {14L05 (14F30 14G35)},
MRNUMBER = {1403942},
MRREVIEWER = {Noriko Yui},
ZBLNUMBER = {0874.11046},
} -
[Rog90] J. D. Rogawski, Automorphic Representations of Unitary Groups in Three Variables, Princeton, NJ: Princeton Univ. Press, 1990, vol. 123.
@book {Rog90, MRKEY = {1081540},
AUTHOR = {Rogawski, Jonathan D.},
TITLE = {Automorphic Representations of Unitary Groups in Three Variables},
SERIES = {Ann. of Math. Stud.},
VOLUME = {123},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, NJ},
YEAR = {1990},
PAGES = {xii+259},
ISBN = {0-691-08586-2; 0-691-08587-0},
MRCLASS = {22E55 (11F70 11R39 22-02)},
MRNUMBER = {1081540},
MRREVIEWER = {David Joyner},
ZBLNUMBER = {0724.11031},
} -
[Rog92a] J. D. Rogawski, "Analytic expression for the number of points mod $p$," in The Zeta Functions of Picard Modular Surfaces, Montreal, QC: Univ. Montréal, 1992, pp. 65-109.
@incollection {Rog92a, MRKEY = {1155227},
AUTHOR = {Rogawski, Jonathan D.},
TITLE = {Analytic expression for the number of points mod {$p$}},
BOOKTITLE = {The Zeta Functions of {P}icard Modular Surfaces},
PAGES = {65--109},
PUBLISHER = {Univ. Montréal},
ADDRESS = {Montreal, QC},
YEAR = {1992},
MRCLASS = {11S37 (11F70 11S40 14G10 22E55)},
MRNUMBER = {1155227},
MRREVIEWER = {Dipendra Prasad},
ZBLNUMBER = {0821.14015},
} -
[RR96]
M. Rapoport and M. Richartz, "On the classification and specialization of $F$-isocrystals with additional structure," Compositio Math., vol. 103, iss. 2, pp. 153-181, 1996.
@article {RR96, MRKEY = {1411570},
AUTHOR = {Rapoport, Michael and Richartz, M.},
TITLE = {On the classification and specialization of {$F$}-isocrystals with additional structure},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {103},
YEAR = {1996},
NUMBER = {2},
PAGES = {153--181},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {14F30 (22E50)},
MRNUMBER = {1411570},
MRREVIEWER = {Abdellah Mokrane},
URL = {http://www.numdam.org/item?id=CM_1996__103_2_153_0},
ZBLNUMBER = {0874.14008},
} -
[RZ96] M. Rapoport and T. Zink, Period Spaces for $p$-Divisible Groups, Princeton, NJ: Princeton Univ. Press, 1996, vol. 141.
@book {RZ96, MRKEY = {1393439},
AUTHOR = {Rapoport, Michael and Zink, Th.},
TITLE = {Period Spaces for {$p$}-Divisible Groups},
SERIES = {Ann. of Math. Stud.},
VOLUME = {141},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, NJ},
YEAR = {1996},
PAGES = {xxii+324},
ISBN = {0-691-02782-X; 0-691-02781-1},
MRCLASS = {14G20 (11G18 14F30 14L05 14M15 20G05 20G25)},
MRNUMBER = {1393439},
MRREVIEWER = {Robert E. Kottwitz},
ZBLNUMBER = {0873.14039},
} -
[Sai]
T. Saito, "Hilbert modular forms and $p$-adic Hodge theory," Compos. Math., vol. 145, iss. 5, pp. 1081-1113, 2009.
@article{Sai,
author = {Saito, Takeshi},
TITLE = {Hilbert modular forms and {$p$}-adic {H}odge theory},
JOURNAL = {Compos. Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {145},
YEAR = {2009},
NUMBER = {5},
PAGES = {1081--1113},
ISSN = {0010-437X},
ZBLNUMBER = {pre05625823},
MRCLASS = {32Gxx (11F41 11G18 14G35)},
MRNUMBER = {2551990},
DOI = {10.1112/S0010437X09004175},
} -
[She82]
D. Shelstad, "$L$-indistinguishability for real groups," Math. Ann., vol. 259, iss. 3, pp. 385-430, 1982.
@article {She82, MRKEY = {0661206},
AUTHOR = {Shelstad, D.},
TITLE = {{$L$}-indistinguishability for real groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {259},
YEAR = {1982},
NUMBER = {3},
PAGES = {385--430},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {22E45},
MRNUMBER = {0661206},
MRREVIEWER = {Stephen Gelbart},
DOI = {10.1007/BF01456950},
ZBLNUMBER = {0506.22014},
} -
[Shi-stab]
S. W. Shin, "Counting points on Igusa varieties," Duke Math. J., vol. 146, iss. 3, pp. 509-568, 2009.
@article{Shi-stab,
author = {Shin, Sug Woo},
TITLE = {Counting points on {I}gusa varieties},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {146},
YEAR = {2009},
NUMBER = {3},
PAGES = {509--568},
ISSN = {0012-7094},
ZBLNUMBER = {pre05505897},
CODEN = {DUMJAO},
MRCLASS = {11G15 (11F72 11R39 14Gxx)},
MRNUMBER = {2484281},
DOI = {10.1215/00127094-2009-004},
} -
[Shi09]
S. W. Shin, "Counting points on Igusa varieties," Duke Math. J., vol. 146, iss. 3, pp. 509-568, 2009.
@article {Shi09, MRKEY = {2484281},
AUTHOR = {Shin, Sug Woo},
TITLE = {Counting points on {I}gusa varieties},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {146},
YEAR = {2009},
NUMBER = {3},
PAGES = {509--568},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {11G18 (11F72 11G15 11R39 14G35)},
MRNUMBER = {2484281},
MRREVIEWER = {Nguy{\cftil{e}}n Qu{ô}c Th{á}ng},
DOI = {10.1215/00127094-2009-004},
ZBLNUMBER = {05505897},
} -
[Sil78]
A. J. Silberger, "The Langlands quotient theorem for $p$-adic groups," Math. Ann., vol. 236, iss. 2, pp. 95-104, 1978.
@article {Sil78, MRKEY = {0507262},
AUTHOR = {Silberger, Allan J.},
TITLE = {The {L}anglands quotient theorem for {$p$}-adic groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {236},
YEAR = {1978},
NUMBER = {2},
PAGES = {95--104},
ISSN = {0025-5831},
MRCLASS = {22E50 (20G05)},
MRNUMBER = {0507262},
MRREVIEWER = {G. I. Olsanskii},
DOI = {10.1007/BF01351383},
ZBLNUMBER = {0362.20029},
} -
@misc{Sor,
author={Sorensen, C. M.},
TITLE={A patching lemma},
URL={http://www.math.princeton.edu/~csorense/patch.pdf},
} -
[SR99]
S. A. Salamanca-Riba, "On the unitary dual of real reductive Lie groups and the $A_g(\lambda)$ modules: the strongly regular case," Duke Math. J., vol. 96, iss. 3, pp. 521-546, 1999.
@article {SR99, MRKEY = {1671213},
AUTHOR = {Salamanca-Riba, Susana A.},
TITLE = {On the unitary dual of real reductive {L}ie groups and the {$A\sb g(\lambda)$} modules: the strongly regular case},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {96},
YEAR = {1999},
NUMBER = {3},
PAGES = {521--546},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {22E46 (20G05 22D10 22E47)},
MRNUMBER = {1671213},
MRREVIEWER = {Karl-Hermann Neeb},
DOI = {10.1215/S0012-7094-99-09616-3},
ZBLNUMBER = {0941.22014},
} -
[Str05] M. Strauch, "On the Jacquet-Langlands correspondence in the cohomology of the Lubin-Tate deformation tower," Astérisque, vol. 298, pp. 391-410, 2005.
@article {Str05, MRKEY = {2141708},
AUTHOR = {Strauch, Matthias},
TITLE = {On the {J}acquet-{L}anglands correspondence in the cohomology of the {L}ubin-{T}ate deformation tower},
JOURNAL = {Astérisque},
FJOURNAL = {Astérisque},
VOLUME = {298},
YEAR = {2005},
PAGES = {391--410},
ISSN = {0303-1179},
MRCLASS = {22E50 (11S37 14G22 14L05)},
MRNUMBER = {2141708},
MRREVIEWER = {Elmar Grosse-Kl{ö}nne},
ZBLNUMBER = {1073.22010},
} -
[Tat79] J. Tate, "Number theoretic background," in Automorphic Forms, Representations and $L$-Functions, Providence, R.I., 1979, pp. 3-26.
@inproceedings {Tat79, MRKEY = {0546607},
AUTHOR = {Tate, J.},
TITLE = {Number theoretic background},
BOOKTITLE = {Automorphic Forms, Representations and {$L$}-Functions},
VENUE={{P}roc. {S}ympos. {P}ure {M}ath., {O}regon {S}tate {U}niv., {C}orvallis, {O}re., 1977},
SERIES = {Proc. Sympos. Pure Math.},
VOLUME={33},
PAGES = {3--26},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1979},
MRCLASS = {12A67},
MRNUMBER = {0546607},
MRREVIEWER = {A. I. Vinogradov},
ZBLNUMBER = {0422.12007},
} -
[Tay89]
R. Taylor, "On Galois representations associated to Hilbert modular forms," Invent. Math., vol. 98, iss. 2, pp. 265-280, 1989.
@article {Tay89, MRKEY = {1016264},
AUTHOR = {Taylor, Richard},
TITLE = {On {G}alois representations associated to {H}ilbert modular forms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {98},
YEAR = {1989},
NUMBER = {2},
PAGES = {265--280},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {11R39 (11F12 11F33 11F41 11G18)},
MRNUMBER = {1016264},
MRREVIEWER = {Bas Edixhoven},
DOI = {10.1007/BF01388853},
ZBLNUMBER = {0705.11031},
} -
[Tay04]
R. Taylor, "Galois representations," Ann. Fac. Sci. Toulouse Math., vol. 13, iss. 1, pp. 73-119, 2004.
@article {Tay04, MRKEY = {2060030},
AUTHOR = {Taylor, Richard},
TITLE = {Galois representations},
JOURNAL = {Ann. Fac. Sci. Toulouse Math.},
FJOURNAL = {Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6},
VOLUME = {13},
YEAR = {2004},
NUMBER = {1},
PAGES = {73--119},
ISSN = {0240-2963},
MRCLASS = {11F80 (11F70 11S37)},
MRNUMBER = {2060030},
MRREVIEWER = {Thomas A. Weston},
URL = {http://afst.cedram.org/item?id=AFST_2004_6_13_1_73_0},
ZBLNUMBER = {1074.11030},
} -
[Tsu99]
T. Tsuji, "$p$-adic étale cohomology and crystalline cohomology in the semi-stable reduction case," Invent. Math., vol. 137, iss. 2, pp. 233-411, 1999.
@article {Tsu99, MRKEY = {1705837},
AUTHOR = {Tsuji, Takeshi},
TITLE = {{$p$}-adic étale cohomology and crystalline cohomology in the semi-stable reduction case},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {137},
YEAR = {1999},
NUMBER = {2},
PAGES = {233--411},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {14F30 (14F20)},
MRNUMBER = {1705837},
MRREVIEWER = {Abdellah Mokrane},
DOI = {10.1007/s002220050330},
ZBLNUMBER = {0945.14008},
} -
[TY07]
R. Taylor and T. Yoshida, "Compatibility of local and global Langlands correspondences," J. Amer. Math. Soc., vol. 20, iss. 2, pp. 467-493, 2007.
@article {TY07, MRKEY = {2276777},
AUTHOR = {Taylor, Richard and Yoshida, Teruyoshi},
TITLE = {Compatibility of local and global {L}anglands correspondences},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {20},
YEAR = {2007},
NUMBER = {2},
PAGES = {467--493},
ISSN = {0894-0347},
MRCLASS = {11R39 (11F70 11F80 14G35 22E55)},
MRNUMBER = {2276777},
MRREVIEWER = {Alexey A. Panchishkin},
DOI = {10.1090/S0894-0347-06-00542-X},
ZBLNUMBER = {05120650},
} -
[vDi72]
G. van Dijk, "Computation of certain induced characters of $\mathfrak{p}$-adic groups," Math. Ann., vol. 199, pp. 229-240, 1972.
@article {vDi72, MRKEY = {0338277},
AUTHOR = {van Dijk, G.},
TITLE = {Computation of certain induced characters of {$\mathfrak{p}$}-adic groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {199},
YEAR = {1972},
PAGES = {229--240},
ISSN = {0025-5831},
MRCLASS = {22E50},
MRNUMBER = {0338277},
MRREVIEWER = {Allan J. Silberger},
DOI = {10.1007/BF01429876},
ZBLNUMBER = {0231.22018},
} -
[VZ84]
D. A. Vogan Jr. and G. J. Zuckerman, "Unitary representations with nonzero cohomology," Compositio Math., vol. 53, iss. 1, pp. 51-90, 1984.
@article {VZ84, MRKEY = {0762307},
AUTHOR = {Vogan, Jr., David A. and Zuckerman, Gregg J.},
TITLE = {Unitary representations with nonzero cohomology},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {53},
YEAR = {1984},
NUMBER = {1},
PAGES = {51--90},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {22E47 (11F67 11F70 32N10)},
MRNUMBER = {0762307},
MRREVIEWER = {Dan Barbasch},
URL = {http://www.numdam.org/item?id=CM_1984__53_1_51_0},
ZBLNUMBER = {0692.22008},
} -
[Wal88] N. Wallach, Real Reductive Groups I, Boston, MA: Academic Press Inc., 1988, vol. 132.
@book{Wal88,
author={Wallach, N.},
TITLE={Real {R}eductive {G}roups {\rm I}},
SERIES={Pure Appl. Math.},
VOLUME={132},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Boston, MA},
YEAR = {1988},
PAGES = {xx+412},
ZBL = {0666.22002},
ISBN = {0-12-732960-9},
MRCLASS = {22E46 (17B10 22-02 22E30)},
MRNUMBER = {0929683},
MRREVIEWER = {Roberto J. Miatello},
ZBLNUMBER = {0666.22002},
} -
[Wal97]
J. -L. Waldspurger, "Le lemme fondamental implique le transfert," Compositio Math., vol. 105, iss. 2, pp. 153-236, 1997.
@article {Wal97, MRKEY = {1440722},
AUTHOR = {Waldspurger, J.-L.},
TITLE = {Le lemme fondamental implique le transfert},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {105},
YEAR = {1997},
NUMBER = {2},
PAGES = {153--236},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {22E50 (11F72 11F85 22E35)},
MRNUMBER = {1440722},
MRREVIEWER = {David Manderscheid},
DOI = {10.1023/A:1000103112268},
ZBLNUMBER = {0871.22005},
} -
[Wal06]
J. -L. Waldspurger, "Endoscopie et changement de caractéristique," J. Inst. Math. Jussieu, vol. 5, iss. 3, pp. 423-525, 2006.
@article {Wal06, MRKEY = {2241929},
AUTHOR = {Waldspurger, J.-L.},
TITLE = {Endoscopie et changement de caractéristique},
JOURNAL = {J. Inst. Math. Jussieu},
FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ. Journal de l'Institut de Mathématiques de Jussieu},
VOLUME = {5},
YEAR = {2006},
NUMBER = {3},
PAGES = {423--525},
ISSN = {1474-7480},
MRCLASS = {22E35 (20G25 22E60)},
MRNUMBER = {2241929},
MRREVIEWER = {Bertrand Lemaire},
DOI = {10.1017/S1474748006000041},
ZBLNUMBER = {1102.22010},
} -
[Zel80]
A. V. Zelevinsky, "Induced representations of reductive $\mathfrak{p}$-adic groups. II. On irreducible representations of ${ GL}(n)$," Ann. Sci. École Norm. Sup., vol. 13, iss. 2, pp. 165-210, 1980.
@article {Zel80, MRKEY = {0584084},
AUTHOR = {Zelevinsky, A. V.},
TITLE = {Induced representations of reductive {$\mathfrak{p}$}-adic groups. {II}. {O}n irreducible representations of {${\rm GL}(n)$}},
JOURNAL = {Ann. Sci. École Norm. Sup.},
FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
VOLUME = {13},
YEAR = {1980},
NUMBER = {2},
PAGES = {165--210},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {22E50},
MRNUMBER = {0584084},
URL = {http://www.numdam.org/item?id=ASENS_1980_4_13_2_165_0},
ZBLNUMBER = {0441.22014},
}