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Determination of Brauer Characters
Published online by Cambridge University Press: 20 November 2018
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The purpose of this note is to show that the values of an irreducible (Brauer) character are the characteristic values of a matrix with non-negative rational integers. The construction of these integral matrices is done by a description of a representation of the Grothendieck ring of the category of modules over the group algebra. In particular a result of Solomon on characters and a result of Burnside on vanishing of a non-linear character on some conjugate class are generalized.
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- Copyright © Canadian Mathematical Society 1974
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