Partial Representations and Partial Group Algebras

Details Partial Representations and Partial Group Algebras Partial Representations and Partial Group Algebras

1999-03-22

arxiv.org/abs/math/9903129v1

Mathematics

Group Theory

LaTeX, 25 pages, no figures

Scientific paper

The partial group algebra of a group G over a field K, denoted by K_{par}(G), is the algebra whose representations correspond to the partial representations of G over K-vector spaces. In this paper we study the structure of the partial group algebra K_{par}(G), where G is a finite group. In particular, given two finite abelian groups G_1 and G_2, we prove that if the characteristic of K is zero, then K_{par}(G_1) is isomorphic to K_{par}(G_2) if and only if G_1 is isomorphic to G_2.

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