DESCENTS OF UNIPOTENT REPRESENTATIONS OF FINITE UNITARY GROUPS

被引：6

作者：

Liu, Dongwen ^{[1
]}

Wang, Zhicheng ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 06期

关键词：

GROSS-PRASAD CONJECTURE; LOCAL ROOT NUMBERS; CRITICAL L-VALUES; IRREDUCIBLE REPRESENTATIONS; WEIL REPRESENTATIONS; RESTRICTION PROBLEMS; ORTHOGONAL GROUPS; REDUCTIVE GROUPS;

D O I：

10.1090/tran/8033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inspired by the Gan-Gross-Prasad conjecture and the descent problem for classical groups, in this paper we study the descents of unipotent representations of unitary groups over finite fields. We give the first descents of unipotent representations explicitly, which are unipotent as well. Our results include both the Bessel case and Fourier-Jacobi case, which are related via theta correspondence.

引用

页码：4223 / 4253

页数：31

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