Paul Baum, Anne-Marie Aubert, Roger Plymen, Maarten Solleveld
Published 2013-11-07, updated 2014-09-16Version 2
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.
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
Local Langlands correspondence and ramification for Carayol representations
Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field
Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field
![QR code for arXiv:1311.1606 [math.RT]](http://oss.arxitics.com/images/favicon.svg)