Rigid inner forms of real and p-adic groups

• 成果类型: Article
• 署名作者: Kaletha, Tasho
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2016.184.2.6
• 发表日期: 2016
• 页码: 559-632
• 关键词: supercuspidal l-packets; stable trace formula; REPRESENTATIONS; isocrystals; endoscopy

摘要

We define a new cohomology set H-1(u -> W, Z -> G) for an affine algebraic group G and a finite central subgroup Z, both defined over a local field of characteristic zero, which is an enlargement of the usual first Galois cohomology set of G. We show how this set can be used to give a precise conjectural description of the internal structure and endoscopic transfer of tempered L-packets for arbitrary connected reductive groups that extends the well-known conjectural description for quasi-split groups. In the case of real groups, we show that this description is correct using Shelstad's work.