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On the representation of the endomorphism semigroup of a finite group on its group algebra. (English. Russian original) Zbl 0917.20052

Sib. Math. J. 39, No. 5, 953-958 (1998); translation from Sib. Mat. Zh. 39, No. 5, 1104-1110 (1998).
A representation is described of the endomorphism semigroup of a finite group on a linear space. Some relations are proven for matrix elements of this representation.

MSC:

20M25 Semigroup rings, multiplicative semigroups of rings
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
20M20 Semigroups of transformations, relations, partitions, etc.
20C15 Ordinary representations and characters
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