Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some operator identities and representations of algebras   Certain infinite families of operator identities related to powers of
positive root generators of (super) Lie algebras of first-order differential
operators and $q$-deformed algebras of first-order finite-difference operators
are presented.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ