Melnikov, Yu. B. 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. Reviewer: M.F.Murzina (Novosibirsk) 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 Keywords:representations; endomorphism semigroups; finite groups; matrix elements PDFBibTeX XMLCite \textit{Yu. B. Melnikov}, Sib. Math. J. 39, No. 5, 1104--1110 (1998; Zbl 0917.20052); translation from Sib. Mat. Zh. 39, No. 5, 1104--1110 (1998)