The periodicity conjecture for pairs of Dynkin diagrams

Pages 111-170 from Volume 177 (2013), Issue 1 by Bernhard Keller

Abstract

We prove the periodicity conjecture for pairs of Dynkin diagrams using Fomin-Zelevinsky’s cluster algebras and their (additive) categorification via triangulated categories.

Keywords
, , , ,
DOI
https://doi.org/10.4007/annals.2013.177.1.3
MR
2999039
zbMATH
06146418
Milestones
Received: 24 January 2010
Revised: 5 October 2011
Accepted: 11 April 2012
Published online: 1 January 2013

Authors

Bernhard Keller

Université Paris Diderot -- Paris 7, UFR de Mathématiques, Case 7012, 75205 Paris cedex 13, France and Institut de Mathématiques de Jussieu, 75252 Paris, France