Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation stability of power sets and square free polynomials   The symmetric group acts on the power set and also on the set of square free
polynomials. These two related representations are analyzed from the stability
point of view. An application is given for the action of the symmetric group on
the cohomology of the pure braid group.

14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg