On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad

• 成果类型: Article
• 署名作者: Beuzart-Plessis, Raphael
• 署名单位: Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-018-0807-z
• 发表日期: 2018
• 页码: 437-521
• 关键词: weighted orbital integrals; quadratic base change; reductive groups; matrix coefficients; characters; FORMULA; SPACES

摘要

We prove an integral formula computing multiplicities of square-integrable representations relative to Galois pairs over p-adic fields and we apply this formula to verify two consequences of a conjecture of Dipendra Prasad. One concerns the exact computation of the multiplicity of the Steinberg representation and the other the invariance of multiplicities by transfer among inner forms.