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 Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

Representations of generic algebras and finite groups of Lie type

Author(s): R. B. Howlett; G. I. Lehrer
Journal: Trans. Amer. Math. Soc. 280 (1983), 753-779.
MSC: Primary 20G05; Secondary 16A64, 16A65
MathSciNet review: 716849
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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$.

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Additional Information:

DOI: 10.1090/S0002-9947-1983-0716849-6
PII: S0002-9947-1983-0716849-6
Copyright of article: Copyright 1983, American Mathematical Society




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