Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A combinatorial approach to root multiplicities of rank 2 hyperbolic
  Kac-Moody algebras   In this paper we study root multiplicities of rank 2 hyperbolic Kac-Moody
algebras using the combinatorics of Dyck paths.

13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom