Endoscopic Classification of Representations of Quasi-Split Unitary Groups

被引：147
|
作者：
Mok, Chung Pang [1 ]
机构：
[1] Purdue Univ, Morningside Ctr Math, Beijing & Dept Math, W Lafayette, IN 47907 USA
来源：
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 235卷 / 1108期
基金：
加拿大自然科学与工程研究理事会;
关键词：
PALEY-WIENER THEOREM; UNRAMIFIED PRINCIPAL SERIES; P-ADIC GROUPS; FUNDAMENTAL LEMMA; DISTRIBUTIONS; CHARACTERS; NUMBERS; PROOF; GL(N);
D O I：
10.1090/memo/1108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
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页码：1 / +
页数：251
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