Refined anisotropic \(K\)-types and supercuspidal representations
type: Item
instance of: scholarly article
title: Refined anisotropic \(K\)-types and supercuspidal representations
zbMATH Open document ID: 0924.22015
author: Jeffrey Adler
published in: Pacific Journal of Mathematics
publication date: 1999-11-08T00:00:00Z
review text: Let \(G\) be an arbitrary connected reductive group defined over a non-archimedean local field \(F\) of residual characteristic p. Let us construct families of positive-depth supercuspidal representations of \(G(F)\). A classification of the representations of \(G(F)\) containing any anisotropic unrefined minimal K-type in the sense of Moy-Prasad that satisfies a tameness condition is presented. It is shown that these representations are induced by some compact subgroups.
reviewed by: Eugene Kryachko
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 22E35
Mathematics Subject Classification ID: 20C99
zbMATH DE Number: 1344251
zbMATH Keywords: reductive group
zbMATH Keywords: supercuspidal representation
zbMATH Keywords: compact subgroup
MaRDI profile type: Publication
full work available at URL: pjm.1998.185.1
OpenAlex ID: W2139795744
DOI: 10.2140/PJM.1998.185.1
description: scientific article; zbMATH DE number 1344251