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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Representations of generic algebras and finite groups of Lie type
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by R. B. Howlett and G. I. Lehrer PDF
Trans. Amer. Math. Soc. 280 (1983), 753-779 Request permission

Abstract:

The complex representation theory of a finite Lie group $G$ is related to that of certain "generic algebras". As a consequence, formulae are derived ("the Comparison Theorem"), relating multiplicities in $G$ to multiplicities in the Weyl group $W$ of $G$. Applications include an explicit description of the dual (see below) of an arbitrary irreducible complex representation of $G$.
References
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 280 (1983), 753-779
  • MSC: Primary 20G05; Secondary 16A64, 16A65
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0716849-6
  • MathSciNet review: 716849