Skew group algebras of path algebras and preprojective algebras

JOURNAL OF ALGEBRA

卷:323

Article

Demonet, Laurent

关键词: Representation of algebras;    Quiver representations;    Preprojective algebras;    Noncommutative algebras;    Group action;    Skew group algebras;   

DOI  :  10.1016/j.jalgebra.2009.11.034

来源: Elsevier

【 摘 要 】

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(CX circle plus CY) acting on C[X, Y]. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free