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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
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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]
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- 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
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