1975Proceedings of the American Mathematical SocietyRequires access

Induced representations of discrete groups

Lawrence Corwin

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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.

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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.

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Available 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.

Key concepts: Unitary state, Representation (politics), Irreducible representation, Induced representation, Representation theory of SU, Restricted representation, Representation theory of finite groups, Unitary representation

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