Revista de la Unión Matemática Argentina
versão impressa ISSN 0041-6932
FUNES, Olga. A description of hereditary skew group algebras of Dynkin and Euclidean type. Rev. Unión Mat. Argent. [online]. 2009, vol.50, n.1, pp. 1-22. ISSN 0041-6932.
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.