Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Skew group algebras of deformed preprojective algebras   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
$\eta$.

6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an