Resumen de Skew group algebras of piecewise hereditary algebras are piecewise hereditary

Julie Dionne, Marcelo Lanzilotta, David Smith

• We show that the main results of Happel�Rickard�Schofield (1988) and Happel�Reiten�Smalø (1996) on piecewise hereditary algebras are coherent with the notion of group action on an algebra. Then, we take advantage of this compatibility and show that if G is a finite group acting on a piecewise hereditary algebra A over an algebraically closed field whose characteristic does not divide the order of G, then the resulting skew group algebra A[G] is also piecewise hereditary.