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Representation Theory

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

Authors: Hiraku Atobe and Wee Teck Gan
Journal: Represent. Theory 21 (2017), 354-415
MSC (2010): Primary 11F70, 11R39
Published electronically: October 4, 2017
MathSciNet review: 3708200
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Abstract: In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split $\mathrm {O}_{2n}$ established by Arthur. We give two applications: Prasad’s conjecture and Gross–Prasad conjecture for $\mathrm {O}_n$. Also, we discuss the Arthur conjecture for $\mathrm {O}_{2n}$, and establish the Arthur multiplicity formula for $\mathrm {O}_{2n}$.

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Additional Information

Hiraku Atobe
Affiliation: Department of mathematics, Kyoto University, Kitashirakawa-Oiwake-cho, Sakyo-ku, Kyoto, 606-8502, Japan

Wee Teck Gan
Affiliation: Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076
MR Author ID: 621634

Received by editor(s): February 28, 2016
Received by editor(s) in revised form: March 5, 2017
Published electronically: October 4, 2017
Article copyright: © Copyright 2017 American Mathematical Society