Skew group algebras of path algebras and preprojective algebras
arXiv:0902.1390 · doi:10.1016/j.jalgebra.2009.11.034
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 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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Cited by in corpus (12)
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- Diagram automorphisms of quiver varieties
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- On G/N-Hilb of N-Hilb
- On the Morita Reduced Versions of Skew Group Algebras of Path Algebras
- Constructing Coherently G-invariant Modules
- Quivers with potentials and actions of finite abelian groups
- Quasi-Hereditary Skew Group Algebras
- Generalized McKay Quivers, Root System and Kac-Moody Algebras
- Skew group algebras of deformed preprojective algebras