Descents of unipotent representations of finite unitary groups-Reference-Cited by-同舟云学术

Descents of unipotent representations of finite unitary groups

Published:2020-03-03 Issue:6 Volume:373 Page:4223-4253
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Liu Dongwen,Wang Zhicheng

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/earlyview/#tran8033/.pdf

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