Jacquet modules of induced representations for \(p\)-adic special orthogonal groups
type: Item
instance of: scholarly article
title: Jacquet modules of induced representations for \(p\)-adic special orthogonal groups
zbMATH Open document ID: 1104.22019
author: Chris Jantzen
published in: Journal of Algebra
publication date: 2006-12-07T00:00:00Z
review text: Jacquet module methods play an increasingly important role in the analysis of parabolically induced representations, especially for the classical \(p\)-adic groups \(Sp(2n,F)\), \(SO(2n+1,F)\) and \(O(2n,F)\). Central to this is the ability to efficiently calculate Jacquet modules of induced representations. In the case of \(Sp(2n,F)\) and \(SO(2n+1,F)\), this was provided by M. Tadić. The author remarks that such results were previously given for \(GL(n, F)\) by A. Zelevinsky, even though they did not play a central role in the analysis of induced representations for general linear groups due to the availability of other techniques for these groups. The purpose of this paper is to provide an analogous result for \(SO(2n,F)\).
reviewed by: Osman Bizim
Mathematics Subject Classification ID: 22E50
zbMATH DE Number: 5078305
zbMATH Keywords: Jacquet module method
zbMATH Keywords: \(p\)-adic groups
zbMATH Keywords: Weyl group
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2005.12.026
OpenAlex ID: W2034721511
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DOI: 10.1016/J.JALGEBRA.2005.12.026
description: scientific article; zbMATH DE number 5078305