Simple supercuspidal L-packets of quasi-split classical groups

Abstract

In this paper, for quasi-split classical groups over p-adic fields, we determine the L-packets consisting of simple supercuspidal representations and their corresponding L-parameters, under the assumption that p is not equal to 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.

147 pages, revised according to the referee's suggestions, to appear in Mem. Amer. Math. Soc

References in corpus (6)

• Local Theta correspondence of Tempered Representations and Langlands parameters
• On the cuspidal support of discrete series for $p$-adic quasisplit $Sp(N)$ and $SO(N)$
• Local Galois representations of Swan conductor one
• On the Langlands parameter of a simple supercuspidal representation: odd orthogonal groups
• Parity of the Langlands parameters of conjugate self-dual representations of GL(n) and the local Jacquet-Langlands correspondence
• Remarks on the Fundamental Lemma for stable twisted Endoscopy of Classical Groups