Lifting of generic depth zero representations of classical groups
type: Item
instance of: scholarly article
title: Lifting of generic depth zero representations of classical groups
zbMATH Open document ID: 1147.22008
author: Gordan Savin
published in: Journal of Algebra
publication date: 2008-07-11T00:00:00Z
review text: In this paper the author considers split classical groups of type \(B\) and \(C\) over a \(p\)-adic field \(k\). It is now known that generic depth zero supercuspidal representations of these lift to representations of appropriate general linear groups. The author studies this correspondence in more detail. He considers the decomposition of induced representations of the type \(I(s,\Pi \times \Sigma)\) at \(s=1\) constructed on a larger group of the same family as the original one. Here \(\Pi\) is a depth zero self-dual supercuspidal representation of a general linear group over \(k\) and \(\Sigma\) is a depth zero generic supercuspidal representation of the original group which corresponds to a tame regular discrete series representation. He also considers the behaviour of the \(L\) and \(\epsilon\) functions involved.
reviewed by: Samuel James Patterson
Mathematics Subject Classification ID: 22E35
zbMATH DE Number: 5300806
zbMATH Keywords: classical groups
zbMATH Keywords: supercuspidal representations
zbMATH Keywords: lift
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2007.10.018
OpenAlex ID: W2058201793
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DOI: 10.1016/J.JALGEBRA.2007.10.018
description: scientific article; zbMATH DE number 5300806