Abstract
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 (1985) [RR] for a cyclic group acting on the path algebra of a quiver and of Reiten and Van den Bergh (1989) [RV, Proposition 2.13] for a finite subgroup of SL ( C X ⊕ C Y ) acting on C [ X , Y ] .
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