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Prime Power Representations of Finite Linear Groups II

Published online by Cambridge University Press:  20 November 2018

Robert Steinberg
Robert Steinberg*
Affiliation:
University of California, Los Angeles
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The aim of this paper is two-fold: first, to extend the results of (4) to the exceptional finite Lie groups recently discovered by Chevalley (1), and, secondly, to give a construction which works simultaneously for the groups An, Bn, Cn, Dn, En, F4 and G2 (in the usual Lie group notation), and which depends only on intrinsic structural properties of these groups.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 347 - 351
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Chevalley, C., Sur certains groupes simples, Tohoku Math. J., 7 (1955), 14–66.Google Scholar
2. Dynkin, E. B., The structure of semi-simple algebras, Amer. Math. Soc. Translation No. 17.Google Scholar
3. Séminaire “Sophus Lie” (Paris, 1954-5).Google Scholar
4. Steinberg, R., Prime power representations of finite linear groups, Can. J. Math., 8 (1956), 580–591.Google Scholar