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Proceedings of the American Mathematical Society

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

 

 

On the number of irreducible representations of degree $ \leq n$ of a Lie group


Author: O. S. Rothaus
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0382550-5
Keywords: Semisimple Lie algebra, irreducible representation
Article copyright: © Copyright 1975 American Mathematical Society