On the local Langlands correspondence and Arthur conjecture for even orthogonal groups-Reference-Cited by-同舟云学术

On the local Langlands correspondence and Arthur conjecture for even orthogonal groups

Published:2017-10-04 Issue:14 Volume:21 Page:354-415
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Atobe Hiraku,Gan Wee

Abstract

In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O 2 n \mathrm {O}_{2n} established by Arthur. We give two applications: Prasad’s conjecture and Gross–Prasad conjecture for O n \mathrm {O}_n . Also, we discuss the Arthur conjecture for O 2 n \mathrm {O}_{2n} , and establish the Arthur multiplicity formula for O 2 n \mathrm {O}_{2n} .

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

http://www.ams.org/ert/2017-21-14/S1088-4165-2017-00504-8/S1088-4165-2017-00504-8.pdf

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