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An Equation for the Degrees of the Absolutely Irreducible Representations of a Group of Finite Order

Published online by Cambridge University Press:  20 November 2018

Hans Zassenhaus
Hans Zassenhaus*
Affiliation:
McGill University
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If there is a nonsingular symmetric bilinear form defined on a distributive algebra A with basis elements C1, C2, … , Cr over a field F such that and , then the so called Casimir operator [1,2]

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 2 , 1950 , pp. 166 - 167
Copyright
Copyright © Canadian Mathematical Society 1950

References

[1] Casimir, H. and van der Waerden, B.L., “Algebraischer Beweis der vollständigen Reduzibilität der Darstellungen halbeinfacher Liescher Gruppen,” Math. Ann., vol.1 1 1 (1935), 1–12.Google Scholar
[2] Whitehead, J. C. H., “Certain equations in the algebra of a semi-simple infinitesimal group,” Quart. J. Math., vol. 8 (1937), 220–237.Google Scholar