Geodesic
Determination of Brauer Characters
Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 746-752

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Puttaswamaiah, B. M. Determination of Brauer Characters. Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 746-752. doi: 10.4153/CJM-1974-069-5
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