6,088 research outputs found
Representations of Modular Skew Group Algebras
In this paper we study representations of skew group algebras ,
where is a connected, basic, finite-dimensional algebra (or a locally
finite graded algebra) over an algebraically closed field with
characteristic , and 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 . When is a locally finite graded algebra and the action of
on preserves grading, we show that is a generalized
Koszul algebra if and only if so is .Comment: A technical mistake was correcte
A generalized Koszul theory and its application
Let be a graded algebra. In this paper we develop a generalized Koszul
theory by assuming that is self-injective instead of semisimple and
generalize many classical results. The application of this generalized theory
to directed categories and finite EI categories is described.Comment: The revised version accepted by Tran. AM
- …