REPRESENTATIONS OF MODULAR SKEW GROUP ALGEBRAS

In this paper we study representations of skew group algebras AG, where A is a connected, basic, finite-dimensional algebra (or a locally finite graded algebra) over an algebraically closed field k with characteristic p >= 0, and G is an arbitrary finite group each element of which acts as an algebra automorphism on A. We characterize skew group algebras with finite global dimension or finite representation type, and classify the representation types of transporter categories for p not equal 2,3. When A is a locally finite graded algebra and the action of G on A preserves grading, we show that AG is a generalized Koszul algebra if and only if A is.