The generic dual of p-adic groups and applications
Representation Theory
2024-04-15 v2 Number Theory
Abstract
In this paper, we give a uniform classification of the generic dual of quasi-split classical groups, their similitude counterparts, and general spin groups. As applications, for quasi-split classical groups, we show that the functorial lifting maps constructed by Cogdell, Kim, Piatetski-Shapiro and Shahidi are surjective. We also analyze structures of general local Langlands parameters and explicitly construct a distinguished element for each local L-packet.
Keywords
Cite
@article{arxiv.2404.07111,
title = {The generic dual of p-adic groups and applications},
author = {Chris Jantzen and Baiying Liu},
journal= {arXiv preprint arXiv:2404.07111},
year = {2024}
}
Comments
Comments are welcome. Minor changes on the introduction and references