Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soft and hard liberation of compact Lie groups   We investigate the liberation question for the compact Lie groups, by using
various "soft" and "hard" methods, based respectively on joint generation with
a free quantum group, and joint generation with a free torus. The soft methods
extend the "easy" methods, notably by covering groups like $SO_N,SU_N$, and the
hard methods partly extend the soft methods, notably by covering the real and
complex tori themselves.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph