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 the number of irreducible representations of degree $\leq n$ of a Lie group
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by O. S. Rothaus
Proc. Amer. Math. Soc. 51 (1975), 217-220
DOI: https://doi.org/10.1090/S0002-9939-1975-0382550-5

Abstract:

We give a proof of part of a result of Robert Cahn [1] on the asymptotic behavior of the number of irreducible representations of degree $\leq n$ of a semisimple Lie group. The argument is a general one and does not depend on classification.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 51 (1975), 217-220
  • MSC: Primary 22E45; Secondary 10H25
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0382550-5
  • MathSciNet review: 0382550