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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 A n, B n, Cn, Dn, E n, F 4 and G 2 (in the usual Lie group notation), and which depends only on intrinsic structural properties of these groups.

Information

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