On the Gan-Gross-Prasad conjecture for U(p, q)

• 成果类型: Article
• 署名作者: He, Hongyu
• 署名单位: Louisiana State University System; Louisiana State University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-017-0720-x
• 发表日期: 2017
• 页码: 837-884
• 关键词: unitary representations; theta-correspondence; classical-groups; howe correspondence; RESTRICTION

摘要

In this paper, we give a proof of the Gan-Gross-Prasad conjecture for the discrete series of U(p, q). There are three themes in this paper: branching laws of a small A(q) (lambda) branching laws of discrete series and inductive construction of discrete series. These themes are linked together by a reciprocity law and the notion of invariant tensor product.