Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fusion Rules for Affine Kac-Moody Algebras   This is an expository introduction to fusion rules for affine Kac-Moody
algebras, with major focus on the algorithmic aspects of their computation and
the relationship with tensor product decompositions. Many explicit examples are
included with figures illustrating the rank 2 cases. New results relating
fusion coefficients to tensor product coefficients are proved, and a conjecture
is given which shows that the Frenkel-Zhu affine fusion rule theorem can be
seen as a beautiful generalization of the Parasarathy-Ranga Rao-Varadarajan
tensor product theorem. Previous work of the author and collaborators on a
different approach to fusion rules from elementary group theory is also
explained.

20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat