Jacquet modules and local Langlands correspondence

• 成果类型: Article
• 署名作者: Atobe, Hiraku
• 署名单位: Hokkaido University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00918-w
• 发表日期: 2020
• 页码: 831-871
• 关键词: gross-prasad conjecture; standard modules; REPRESENTATIONS

摘要

In this paper, we explicitly compute the semisimplifications of all Jacquet modules of irreducible representations with generic L-parameters of p-adic split odd special orthogonal groups or symplectic groups. Our computation represents them in terms of linear combinations of standard modules with rational coefficients. The main ingredient of this computation is to apply M oe glin's explicit construction of local A-packets to tempered L-packets. Finally, we study the derivatives introduced by Minguez.