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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On induced representations of discrete groups
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by Michael W. Binder
Proc. Amer. Math. Soc. 118 (1993), 301-309
DOI: https://doi.org/10.1090/S0002-9939-1993-1123649-6

Abstract:

The paper deals with induced representations $\operatorname {ind} _H^G\sigma$ of a locally compact group $G$ where $H$ is an open subgroup. Using "elementary intertwining operators", we first describe the commutant $\operatorname {ind} _H^G\sigma (G)’$ (also in the case of realizing the induced representations with positive definite measures). Then criteria for irreducibility and pairwise disjointness of induced representations are given. Finally, special attention is devoted to abelian subgroups $H$.
References
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Bibliographic Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 301-309
  • MSC: Primary 22D30; Secondary 22D10
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1123649-6
  • MathSciNet review: 1123649