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

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

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}, an...

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Veröffentlicht in:Representation theory 2017-10, Vol.21 (14), p.354-415
Hauptverfasser: Atobe, Hiraku, Gan, Wee
Format: Artikel
Sprache:eng
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Zusammenfassung: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}.
ISSN:1088-4165
1088-4165
DOI:10.1090/ert/504