A DESCRIPTION OF HEREDITARY SKEW GROUP ALGEBRAS OF DYNKIN AND EUCLIDEAN TYPE

In this work we study the skew group algebra Lambda[G] when G is a finite group acting on Lambda whose order is invertible in Lambda. Here, we assume that Lambda 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.