Some remarks on induced representations of infinite discrete groups
type: Item
instance of: scholarly article
title: Some remarks on induced representations of infinite discrete groups
zbMATH Open document ID: 0648.20023
DOI: 10.1007/BF01443507
author: Nobuaki Obata
published in: Mathematische Annalen
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164542
review text: We give simple criteria for irreducibility and mutual equivalence of unitary representations of an infinite discrete group induced from finite dimensional ones of its subgroups. Our results are quite useful, in particular, in the study of irreducible representations of the infinite symmetric group, free groups and free products. In addition an analogue of Burnside's theorem is given.
Mathematics Subject Classification ID: 20C32
Mathematics Subject Classification ID: 22D30
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 4057775
zbMATH Keywords: irreducibility
zbMATH Keywords: equivalence of unitary representations
zbMATH Keywords: infinite discrete group
zbMATH Keywords: irreducible representations
zbMATH Keywords: infinite symmetric group
zbMATH Keywords: free groups
zbMATH Keywords: free products
zbMATH Keywords: Burnside's theorem
MaRDI profile type: Publication
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OpenAlex ID: W1974101043
description: scientific article; zbMATH DE number 4057775