Induced representations of discrete groups
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- by Lawrence Corwin PDF
- Proc. Amer. Math. Soc. 47 (1975), 279-287 Request permission
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.References
- George W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576–592. MR 42420, DOI 10.2307/2372309
- George W. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265–311. MR 98328, DOI 10.1007/BF02392428
- F. I. Mautner, The structure of the regular representation of certain discrete groups, Duke Math. J. 17 (1950), 437–441. MR 39727
- Martha Smith, Regular representations of discrete groups, J. Functional Analysis 11 (1972), 401–406. MR 0344902, DOI 10.1016/0022-1236(72)90062-6
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 279-287
- MSC: Primary 22D30
- DOI: https://doi.org/10.1090/S0002-9939-1975-0387487-3
- MathSciNet review: 0387487