Understand
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 $\C[X, Y]$.
Built on
The preprojective algebra of a modulated graph
Vlastimil Dlab and Claus Michael Ringel · 1980
Earlier work this paper cites.
Skew group algebras in the representation theory of Artin algebras
Idun Reiten and Christine Riedtmann · 1985
Earlier work this paper cites.
Similar
Two-dimensional tame and maximal orders of finite representation type
Idun Reiten and Michel Van den Bergh · 1989
Cited alongside, same era.
Noncommutative deformations of Kleinian singularities
William Crawley-Boevey and Martin P. Holland · 1998
Cited alongside, same era.
Categorification of skew-symmetrizable cluster algebras
Laurent Demonet
Cited in the paper.
Then
The preprojective algebra of a quiver
Claus Michael Ringel · 1998
Later among the works it cites.
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