Skew group algebras of path algebras and preprojective algebras

Details Skew group algebras of path algebras and preprojective algebras Skew group algebras of path algebras and preprojective algebras

2009-02-09

arxiv.org/abs/0902.1390v2

Mathematics

Representation Theory

accepted by Journal of Algebra massive shortening and improvement of readability after referring

Scientific paper

We compute explicitly up to Morita-equivalence the skew group algebra of a finite group acting on the path algebra of a quiver and the skew group algebra of a finite group acting on a preprojective algebra. These results generalize previous results of Reiten and Riedtmann for a cyclic group acting on the path algebra of a quiver and of Reiten and Van den Bergh for a finite subgroup of $\SL(\C X \oplus \C Y)$ acting on $\C[X, Y]$.

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