REPRESENTATIONS OF MODULAR SKEW GROUP ALGEBRAS
LIPING LI
Abstract. In this paper we study representations of skew group algebras #G, where # 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 #. We characterize skew group algebras with finite global dimension or finite representation type, and classify the representation types of transporter categories for p #= 2, 3. When # is a locally finite graded algebra and the action of G on # preserves grading, we show that #G is a generalized Koszul algebra if and only if so is #.