Partial Representations and Partial Group Algebras

@article{Dokuchaev1999PartialRA,
  title={Partial Representations and Partial Group Algebras},
  author={Mikhailo Dokuchaev and Ruy Exel and Paolo Piccione},
  journal={Journal of Algebra},
  year={1999},
  volume={226},
  pages={505-532}
}
Abstract 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 does not divide the order of G 1 , then K par ( G 1 ) is isomorphic to K par ( G 2 ) if and… 
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