What are the extended pure inner forms of a cover?
Representation Theory
2025-06-11 v1 Number Theory
Abstract
Kottwitz suggested to study all extended pure inner forms together in the local Langlands correspondence for linear reductive groups. We extend this philosophy to a large class of covers, including those defined by Brylinski and Deligne, and explain its relation with Weissman's observation that L-packets for covers are sometimes empty.
Cite
@article{arxiv.2506.08696,
title = {What are the extended pure inner forms of a cover?},
author = {Luozi Shi and Yifei Zhao},
journal= {arXiv preprint arXiv:2506.08696},
year = {2025}
}
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39 pages