Depth and the local Langlands correspondence
Representation Theory
2016-12-09 v2
Abstract
Let G be an inner form of a general linear group over a non-archimedean local field. We prove that the local Langlands correspondence for G preserves depths. We also show that the local Langlands correspondence for inner forms of special linear groups preserves the depths of essentially tame Langlands parameters.
Keywords
Cite
@article{arxiv.1311.1606,
title = {Depth and the local Langlands correspondence},
author = {Paul Baum and Anne-Marie Aubert and Roger Plymen and Maarten Solleveld},
journal= {arXiv preprint arXiv:1311.1606},
year = {2016}
}
Comments
The proof of Lemma 3.2 in the first version contained a mistake. In the second version the analysis of depth for inner forms of SL_n was extended and paragraph 2.4 was simplified