Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Induced representations of discrete groups

Author: Lawrence Corwin
Journal: Proc. Amer. Math. Soc. 47 (1975), 279-287
MSC: Primary 22D30
MathSciNet review: 0387487
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] G. W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576-592. MR 13, 106. MR 0042420 (13:106d)
  • [2] -, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265-311. MR 20 #4789. MR 0098328 (20:4789)
  • [3] F. Mautner, The structure of the regular representation of certain discrete groups, Duke Math. J. 17 (1950), 437-441. MR 12, 588. MR 0039727 (12:588b)
  • [4] M. Smith, Regular representations of discrete groups, J. Functional Analysis 11 (1971), 401-406. MR 0344902 (49:9641)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22D30

Retrieve articles in all journals with MSC: 22D30

Additional Information

Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society