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Geometry of Group Representations

Published online by Cambridge University Press:  22 January 2016

G. De B. Robinson
G. De B. Robinson*
Affiliation:
University of Toronto
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The many unanswerable questions (1) which arise in the study of finite groups have lead to a review of fundamental ideas, e.g. the Theorem of Burnside (3, p. 299; 2, 6) that if λ be any faithful irreducible representation of G over a field K, then every irreducible representation of G over K is contained in some tensor power of λ.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 509 - 513
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Brauer, R., On finite groups and their characters. Bull. Amer. Math. Soc. 69 (1936), 25–130.Google Scholar
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[3] Burnside, W., Theory of groups of finite order, 2nd. ed. (Cambridge, 1911).Google Scholar
[4] Robinson, G. de B., On the fundamental region of an orthogonal representation of a finite group. Proc. London Math. Soc. 43 (1937), 289–301.Google Scholar
[5] Robinson, G. de B., Representation theory of Sa , (Toronto, 1961).Google Scholar
[6] Steinberg, R., Complete sets of representations of algebras. Proc. Amer. Math. Soc. 13 (1962), 746–747.CrossRefGoogle Scholar
[7] Weyl, H., Classical Groups, (Princeton, 1946).Google Scholar