Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distance-regular graphs of $q$-Racah type and the $q$-tetrahedron
  algebra   In this paper we discuss a relationship between the following two algebras:
(i) the subconstituent algebra $T$ of a distance-regular graph that has
$q$-Racah type; (ii) the $q$-tetrahedron algebra $\boxtimes_q$ which is a
$q$-deformation of the three-point $sl_2$ loop algebra. Assuming that every
irreducible $T$-module is thin, we display an algebra homomorphism from
$\boxtimes_q$ into $T$ and show that $T$ is generated by the image together
with the center $Z(T)$.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin