L-packets of quasisplit G Sp (2n) and G O (2n)

被引：12
|
作者：
Xu, Bin [1 ]
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB, Canada
来源：
MATHEMATISCHE ANNALEN | 2018年 / 370卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
GENERALIZED PRINCIPAL SERIES; TRACE FORMULA; IRREDUCIBLE REPRESENTATIONS; REDUCIBILITY; PROOF; GL(N); COHOMOLOGY; CONJECTURE; CHARACTERS;
D O I：
10.1007/s00208-016-1515-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In his monograph Arthur (The endoscopic classification of representations: orthogonal and symplectic groups, Colloquium Publications, American Mathematical Society, Providence, 2013) characterizes the L-packets of quasisplit symplectic groups and orthogonal groups. By extending his work, we characterize the L-packets for the corresponding similitude groups with desired properties. In particular, we show these packets satisfy the conjectural endoscopic character identities.
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页码：71 / 189
页数：119
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