Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On McKay Quiver and Covering Spaces   In this paper, we study the relationship between the McKay quivers of a
finite subgroups $G$ of special linear groups general linear groups, via some
natural extension and embedding. We show that the McKay quiver of certain
extension of a finite subgroup $G$ of $\mathrm{SL}(m,\mathbb C)$ in
$\mathrm{GL}(m,\mathbb C)$ is a regular covering of the McKay quiver of $G$,
and when embedding $G$ in a canonical way into $\mathrm{GL}(m-1,\mathbb C)$,
the new McKay quiver is obtained by adding an arrow from the Nakayama
translation of $i$ back to $i$ for each $i$. We also show that certain
interesting examples of McKay quivers are obtained in these two ways.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc