Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on free quantum groups   We study the free complexification operation for compact quantum groups,
$G\to G^c$. We prove that, with suitable definitions, this induces a one-to-one
correspondence between free orthogonal quantum groups of infinite level, and
free unitary quantum groups satisfying $G=G^c$.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph