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Partial Representations and Partial Group Algebras

✍ Scribed by Michael Dokuchaev; Ruy Exel; Paolo Piccione

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 261 KB
Volume: 226
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8204

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✦ Synopsis

The partial group algebra of a group G over a field K, denoted by K G , is par 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 Ž . algebra K G , where G is a finite group. In particular, given two finite abelian par groups G and G , we prove that if the characteristic of K does not divide the

Let G be a group, K be a field and let V be a K-vector space. By a partial representation of G on V we mean a map : G ¬ End V Ž .

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