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Transactions of the American Mathematical Society

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

 

 

Representations of generic algebras and finite groups of Lie type


Authors: R. B. Howlett and G. I. Lehrer
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
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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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DOI: https://doi.org/10.1090/S0002-9947-1983-0716849-6
Article copyright: © Copyright 1983 American Mathematical Society