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

Atobe, Hiraku; Gan, Wee

doi:10.1090/ert/504

On the local Langlands correspondence and Arthur conjecture for even orthogonal groups
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by Hiraku Atobe and Wee Teck Gan

Represent. Theory 21 (2017), 354-415

DOI: https://doi.org/10.1090/ert/504

Published electronically: October 4, 2017

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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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