Blocks of the Grothendieck Ring of Equivariant Bundles on a Finite Group
Keywords:Grothendieck group, G-equivariant C-vector bundles
If G is a finite group, the Grothendieck group of the category of G-equivariant -vector bundles on G (for the action of G on itself by conjugation) is endowed with a structure of (commutative) ring. If K is a sufficiently large extension of and denotes the integral closure of in K, the K-algebra is split semisimple. The aim of this paper is to describe the -blocks of the -algebra .