Depth and the local Langlands correspondence

Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten (2013) Depth and the local Langlands correspondence. [MIMS Preprint]

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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.

Item Type:	MIMS Preprint
Uncontrolled Keywords:	Representation theory, p-adic group, local Langlands programme, division algebra
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups
Depositing User:	Professor Roger Plymen
Date Deposited:	19 Sep 2014
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/2179

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• Depth and the local Langlands correspondence. (deposited 12 Nov 2013)
  • Depth and the local Langlands correspondence. (deposited 19 Sep 2014) [Currently Displayed]

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