Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the symmetry of commuting differential operators with singularities
  along hyperplanes   We study the commutants of a Schr\"{o}dinger operator whose potential
function possesses inverse square singularities along some hyperplanes passing
through the origin. It is shown that the Weyl group symmetry of the potential
function and the commutants naturally results from such singularities and the
generic nature of the coupling constants.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th