Simple supercuspidal L-packets of quasi-split classical groups
Number Theory
2021-11-12 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.1805.01400,
title = {Simple supercuspidal L-packets of quasi-split classical groups},
author = {Masao Oi},
journal= {arXiv preprint arXiv:1805.01400},
year = {2021}
}
Comments
147 pages, revised according to the referee's suggestions, to appear in Mem. Amer. Math. Soc