Level raising and symmetric power functoriality, II


We apply automorphy lifting techniques to establish new cases of symmetric power functoriality for Hilbert modular forms of regular algebraic weight. The proof is based on a novel application of an automorphy lifting theorem for residually reducible Galois representations.


Laurent Clozel

Département de Mathématiques d'Orsay, Université Paris-Sud, 91405 Orsay, France

Jack A. Thorne

Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, United Kingdom