Induced representations of discrete groups-Reference-Cited by-同舟云学术

Induced representations of discrete groups

Published:1975 Issue:2 Volume:47 Page:279-287
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Corwin Lawrence

Abstract

We determine necessary and sufficient conditions for a unitary representation of a discrete group induced from a finite-dimensional representation to be irreducible, and also briefly examine the question of when these induced representations are Type II.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-047-02/S0002-9939-1975-0387487-3/S0002-9939-1975-0387487-3.pdf

Reference4 articles.

1. On induced representations of groups;Mackey, George W.;Amer. J. Math.,1951

2. Unitary representations of group extensions. I;Mackey, George W.;Acta Math.,1958

3. The structure of the regular representation of certain discrete groups;Mautner, F. I.;Duke Math. J.,1950

4. Regular representations of discrete groups;Smith, Martha;J. Functional Analysis,1972

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