Jacquet functors and unrefined minimal \(K\)-types
type: Item
instance of: scholarly article
title: Jacquet functors and unrefined minimal \(K\)-types
zbMATH Open document ID: 0860.22006
DOI: 10.1007/BF02566411
author: Allen Moy
author: Gopal Prasad
published in: Commentarii Mathematici Helvetici
publication date: 1996-05-01T00:00:00Z
full work available at URL: https://eudml.org/doc/140392
review text: The authors define the notion of unrefined minimal \(K\)-type for a reductive group defined over a non-archimedean local field. They further define the depth of a representation. The authors determine the relationship between unrefined minimal \(K\)-types and the Jacquet functors. Analogues of fundamental results of Borel are proved for representations of depth zero.
Mathematics Subject Classification ID: 22E35
Mathematics Subject Classification ID: 20G25
zbMATH DE Number: 872640
zbMATH Keywords: minimal \(K\)-type
zbMATH Keywords: reductive group
zbMATH Keywords: non-archimedean local field
zbMATH Keywords: representation
zbMATH Keywords: Jacquet functors
reviewed by: V. Lakshmibai
MaRDI profile type: Publication
OpenAlex ID: W1978826824
description: scientific article; zbMATH DE number 872640