Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum automorphisms of twisted group algebras and free hypergeometric
  laws   We prove that we have an isomorphism of type $A_{aut}(\mathbb
C_\sigma[G])\simeq A_{aut}(\mathbb C[G])^\sigma$, for any finite group $G$, and
any 2-cocycle $\sigma$ on $G$. In the particular case $G=\mathbb Z_n^2$, this
leads to a Haar-measure preserving identification between the subalgebra of
$A_o(n)$ generated by the variables $u_{ij}^2$, and the subalgebra of
$A_s(n^2)$ generated by the variables $X_{ij}=\sum_{a,b=1}^np_{ia,jb}$. Since
$u_{ij}$ is "free hyperspherical" and $X_{ij}$ is "free hypergeometric", we
obtain in this way a new free probability formula, which at $n=\infty$
corresponds to the well-known relation between the semicircle law, and the free
Poisson law.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex