Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum symmetries of faces models and the double triangle algebra   Symmetries of trigonometric integrable two dimensional statistical face
models are considered. The corresponding symmetry operators on the Hilbert
space of states of the quantum version of these models define a weak *-Hopf
algebra isomorphic to the Ocneanu double triangle algebra.

11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys