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On the character ring of a finite group

Cédric Bonnafé
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Abstract

Let $G$ be a finite group and let $k$ be a sufficiently large finite field. Let $R(G)$ denote the character ring of $G$ (i.e. the Grothendieck ring of the category of ${\mathbb{C}}G$-modules). We study the structure and the representations of the commutative algebra $k \otimes\_{\mathbb{\ZM}} R(G)$

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Cédric Bonnafé. 2006-04-10. On the character ring of a finite group. https://arxiv.org/abs/math/0604224

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