Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a relation between the basic representation of the affine Lie algebra
  $\widehat\sl$ and a Schur--Weyl representation of the infinite symmetric
  group   We prove that there is a natural grading-preserving isomorphism of
$\sl$-modules between the basic module of the affine Lie algebra $\widehat\sl$
(with the homogeneous grading) and a Schur--Weyl module of the infinite
symmetric group $\sinf$ with a grading defined through the combinatorial notion
of the major index of a Young tableau, and study the properties of this
isomorphism. The results reveal new and deep interrelations between the
representation theory of $\widehat\sl$ and the Virasoro algebra on the one
hand, and the representation theory of $\sinf$ and the related combinatorics on
the other hand.

28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex