Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor product stabilization in Kac-Moody algebras   We consider a large class of series of symmetrizable Kac-Moody algebras
(generically denoted X_n). This includes the classical series A_n as well as
others like E_n whose members are of Indefinite type. The focus is to analyze
the behavior of representations in the large n limit. Motivated by the
classical theory of A_n, we consider tensor product decompositions of
irreducible highest weight representations of X_n and study how these vary with
n. The notion of ``double headed'' dominant weights is introduced. For such
weights, we show that tensor product decompositions in X_n do stabilize,
generalizing the classical results for A_n. The main tool used is Littelmann's
celebrated path model. One can also use the stable multiplicities as structure
constants to define a multiplication operation on a suitable space. We define
this so called "stable representation ring'' and show that the multiplication
operation is associative.

30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys