The unicity of types for depth-zero supercuspidal representations
Representation Theory
2021-02-01 v2 Number Theory
Abstract
We establish the unicity of types for depth-zero supercuspidal representations of an arbitrary -adic group , showing that each depth-zero supercuspidal representation of contains a unique conjugacy class of typical representations of maximal compact subgroups of . As a corollary, we obtain an inertial Langlands correspondence for these representations, via the Langlands correspondence of DeBacker and Reeder.
Cite
@article{arxiv.1606.01691,
title = {The unicity of types for depth-zero supercuspidal representations},
author = {Peter Latham},
journal= {arXiv preprint arXiv:1606.01691},
year = {2021}
}
Comments
23 pages. Updated with minor revisions; to appear in Representation Theory