A description of hereditary skew group algebras of Dynkin and Euclidean type

in this work we study the skew group algebra λ[g] when g is a finite group acting on λ whose order is invertible in λ. here, we assume that λ is a finite-dimensional algebra over an algebraically closed field k. the aim is to describe all possible actions of a finite abelian group on an hereditary algebra of finite or tame representation type, to give a description of the resulting skew group algebra for each action and finally to determinate their representation type.