Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Auslander-Reiten quiver of the representations of an infinite
  quiver   Let Q be a strongly locally finite quiver and denote by rep(Q) the category
of locally finite dimensional representations of Q over some fixed field k. The
main purpose of this paper is to get a better understanding of rep(Q) by means
of its Auslander-Reiten quiver. To achieve this goal, we define a category C(Q)
which is a full, abelian and Hom-finite subcategory of rep(Q) containing all
the almost split sequences of rep(Q). We give a complete description of the
Auslander-Reiten quiver of C(Q) by describing its connected components.
Finally, we prove that these connected components are also connected components
of the Auslander-Reiten quiver of rep(Q). We end the paper by giving a
conjecture describing the Auslander-Reiten components of rep(Q) that cannot be
obtained as Auslander-Reiten components of C(Q).

22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an