2012/11/02 by Liping Li, Li, Liping
Mathematics · #16G10 #16G60 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16G10 #msc:16G60
paper · pdf · doi:10.48550/arxiv.1211.0333
A technical mistake was corrected
arxiv created 2014/04/16 · arxiv updated 2014/04/18
In this paper we study representations of skew group algebras ΛG, where Λ is a connected, basic, finite-dimensional algebra (or a locally finite graded algebra) over an algebraically closed field k with characteristic p \geqslant 0, and G is an arbitrary finite group each element of which acts as an algebra automorphism on Λ. 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 Λ is a locally finite graded algebra and the action of G on Λ preserves grading, we show that ΛG is a generalized Koszul algebra if and only if so is Λ.