Irreducibility criterion for quasiregular representations of the group of finite upper triangular matrices
type: Item
instance of: scholarly article
title: Irreducibility criterion for quasiregular representations of the group of finite upper triangular matrices
zbMATH Open document ID: 1022.22020
DOI: 10.1023/A:1022928128185
publication date: 2003-08-13T00:00:00Z
review text: The author defines an analogy of the quasiregular representation for the group of infinite-order finite upper triangular matrices. It uses \(G\)-quasi-invariant measures on some \(G\)-spaces. The author gives a criterion for the irreducibility and equivalence of the constructed representations which allows him to generalize Ismagilov's conjecture on the irreducibility of an analog of the regular representations of infinite dimensional groups.
reviewed by: L. A. Kurdachenko
Mathematics Subject Classification ID: 22E65
zbMATH DE Number: 1963543
zbMATH Keywords: Ismagilov's conjecture
zbMATH Keywords: quasiregular representations
zbMATH Keywords: infinite dimensional group
author: A. V. Kosyak
MaRDI profile type: Publication
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published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1963543