Simple Supercuspidal 𝐿-Packets of Quasi-Split Classical Groups

Author:

Oi Masao

Abstract

In this memoir, for quasi-split classical groups over p p -adic fields, we determine the L L -packets consisting of simple supercuspidal representations and their corresponding L L -parameters, under the assumption that p p is not equal to 2 2 . The key is an explicit computation of characters of simple supercuspidal representations and the endoscopic character relation, which is a characterization of the local Langlands correspondence for quasi-split classical groups.

Publisher

American Mathematical Society (AMS)

Reference60 articles.

1. Good product expansions for tame elements of 𝑝-adic groups;Adler, Jeffrey D.;Int. Math. Res. Pap. IMRP,2008

2. The Langlands parameter of a simple supercuspidal representation: odd orthogonal groups;Adrian, Moshe;J. Ramanujan Math. Soc.,2016

3. American Mathematical Society Colloquium Publications;Arthur, James,2013

4. On the uniqueness of generic representations in an 𝐿-packet;Atobe, Hiraku;Int. Math. Res. Not. IMRN,2017

5. Local theta correspondence of tempered representations and Langlands parameters;Atobe, Hiraku;Invent. Math.,2017

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