Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The algebra of conjugacy classes of the wreath product of a finite group
  with the symmetric group   For a finite group $G,$ we define the concept of $G$-partial permutation and
use it to show that the structure coefficients of the center of the wreath
product $G\wr \mathcal{S}_n$ algebra are polynomials in $n$ with non-negative
integer coefficients. Our main tool is a combinatorial algebra which projects
onto the center of the group $G\wr \mathcal{S}_n$ algebra for every $n.$ This
generalizes the Ivanov and Kerov method to prove the polynomiality property for
the structure coefficients of the center of the symmetric group algebra.

11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th