Skew group algebras of deformed preprojective algebras

Details Skew group algebras of deformed preprojective algebras Skew group algebras of deformed preprojective algebras

2010-03-09

arxiv.org/abs/1003.1797v2

Mathematics

Representation Theory

20 pages

Scientific paper

Suppose that $Q$ is a finite quiver and $G\subseteq \Aut(Q)$ is a finite group, $k$ is an algebraic closed field whose characteristic does not divide the order of $G$. For any algebra $\Lambda=kQ/{\mathcal {I}}$, $\mathcal {I}$ is an arbitrary ideal of path algebra $kQ$, we give all the indecomposable $\Lambda G$-modules from indecomposable $\Lambda$-modules when $G$ is abelian. In particular, we apply this result to the deformed preprojective algebra $\Pi_{Q}^{\lambda}$, and get a reflection functor for the module category of $\Pi_{Q}^{\lambda}G$. Furthermore, we construct a new quiver $Q_{G}$ and prove that $\Pi_{Q}^{\lambda}G$ is Morita equivalent to $\Pi_{Q_{G}}^{\eta}$ for some $\eta$.

Affiliated with

Also associated with

No associations

Rating

Skew group algebras of deformed preprojective algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Skew group algebras of deformed preprojective algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Skew group algebras of deformed preprojective algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454629