Prime Power Representations of Finite Linear Groups II

Robert Steinberg

doi:10.4153/CJM-1957-041-1

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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.

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

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