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On finite degree partial representations of groups. (English) Zbl 1052.20007
In the paper a 1-1 correspondence between the irreducible finite degree partial representations of a group \(G\) and the (usual) irreducible representations of certain ideals of a groupoid algebra constructed from \(G\), is established.

MSC:
20C15 Ordinary representations and characters
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
16S36 Ordinary and skew polynomial rings and semigroup rings
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