On the irreducibility of an induced representation. Ii1

John Quigg

doi:10.1090/S0002-9939-1982-0667304-8

On the irreducibility of an induced representation. Ii¹

John Quigg

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A unitary representation induced from a normal subgroup of a separable locally compact group is irreducible if and only if the inducing representation is irreducible and the restriction of the induced representation to the normal subgroup is multiplicity-free.

Original language	English (US)
Pages (from-to)	345-348
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	86
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1982-0667304-8
State	Published - Oct 1982

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1982-0667304-8

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abstract = "A unitary representation induced from a normal subgroup of a separable locally compact group is irreducible if and only if the inducing representation is irreducible and the restriction of the induced representation to the normal subgroup is multiplicity-free.",

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On the irreducibility of an induced representation. Ii¹

Abstract

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