Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: McKay correspondence and the branching law for finite subgroups of
  $\mathbf{SL}_3\mathbb{C}$   Given $\Gamma$ a finite subgroup of $\mathbf{SL}_3\mathbb{C}$, we determine
how an arbitrary finite dimensional irreducible representation of
$\mathbf{SL}_3\mathbb{C}$ decomposes under the action of $\Gamma$. To the
subgroup $\Gamma$ we attach a generalized Cartan matrix $C_\Gamma$. Then,
inspired by B. Kostant, we decompose the Coxeter element of the Kac-Moody
algebra attached to $C_\Gamma$ as a product of reflections of a special form,
thereby suggesting an algebraic form for the McKay correspondence in dimension
3.

9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat