Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group Theory Structures Underlying Integrable Systems   Different group structures which underline the integrable systems are
considered. In some cases, the quantization of the integrable system can be
provided with substituting groups by their quantum counterparts. However, some
other group structures keep non-deformed in the course of quantizing the
integrable system although their treatment is to be changed. Manifest examples
of the KP/Toda hierarchy and the Liouville theory are considered.

16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph