Open AccessOn the local Langlands correspondence and Arthur conjecture for even orthogonal groups
Author(s) -
Hiraku Atobe,
Wee Teck Gan
Publication year - 2017
Publication title -
representation theory of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.169
H-Index - 37
ISSN - 1088-4165
DOI - 10.1090/ert/504
Subject(s) - conjecture , algorithm , annotation , artificial intelligence , computer science , mathematics , combinatorics
In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O2n established by Arthur. We give two applications: Prasad’s conjecture and Gross–Prasad conjecture for On. Also, we discuss the Arthur conjecture for O2n, and establish the Arthur multiplicity formula for O2n.
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