Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limits of Multiplicities in Excellent Filtrations and Tensor Product
  Decompositions for Affine Kac-Moody Algebras   We express the multiplicities of the irreducible summands of certain tensor
products of irreducible integrable modules for an affine Kac-Moody algebra over
a simply laced Lie algebra as sums of multiplicities in appropriate excellent
filtrations (Demazure flags). As an application, we obtain expressions for the
outer multiplicities of tensor products of two fundamental modules for
$\widehat{\mathfrak{sl}}_2$ in terms of partitions with bounded parts, which
subsequently lead to certain partition identities.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org