Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Weingarten function   The aim of this note is to compare work of Formanek \cite{formanek2} on a
certain construction of central polynomials with that of Collins \cite{Coll} on
integration on unitary groups.
  These two quite disjoint topics share the construction of the same function
on the symmetric group, which the second author calls {\em Weingarten
function}.
  By joining these two approaches we succeed in giving a simplified and {\em
very natural} presentation of both Formanek and Collins's Theory.

7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th