Level raising and symmetric power functoriality, II
Annals of mathematics, Tome 181 (2015) no. 1, pp. 303-359.

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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.
DOI : 10.4007/annals.2015.181.1.5

Laurent Clozel 1 ; Jack A. Thorne 2

1 Département de Mathématiques d'Orsay, Université Paris-Sud, 91405 Orsay, France
2 Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, United Kingdom
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Laurent Clozel; Jack A. Thorne. Level raising and symmetric power functoriality, II. Annals of mathematics, Tome 181 (2015) no. 1, pp. 303-359. doi : 10.4007/annals.2015.181.1.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.181.1.5/

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