On the character ring of a finite group

Details On the character ring of a finite group On the character ring of a finite group

2006-04-10

arxiv.org/abs/math/0604224v1

Publications Math\'ematiques UFR Sciences Techniques Besan\c{c}on (2006) 5-23

Mathematics

Representation Theory

23 pages

Scientific paper

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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