Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On semisimple Hopf algebras of dimension $2q^3$   Let $q$ be a prime number, $k$ an algebraically closed field of
characteristic 0, and $H$ a semisimple Hopf algebra of dimension $2q^3$. This
paper proves that $H$ is always semisolvable. That is, such Hopf algebras can
be obtained by (a number of) extensions from group algebras or duals of group
algebras.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th