Level raising and symmetric power functoriality, II

• 成果类型: Article
• 署名作者: Clozel, Laurent; Thorne, Jack A.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2015.181.1.5
• 发表日期: 2015
• 页码: 303-359
• 关键词: unramified principal series; fundamental lemma; REPRESENTATIONS

摘要

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.