Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyhedral Realizations of Crystal Bases for Quantized Kac-Moody
  Algebras   Let B(\infty) be the crystal corresponding to the nilpotent part of a
quantized Kac-Moody algebra. We suggest a general way to represent B(\infty) as
the set of integer solutions of a system of linear inequalities. As an
application, we treat in a unified manner all Kac-Moody algebras of rank 2
(sharpening the result by Kashiwara), as well as the algebras of types A_n and
A_{n-1}^{(1)}.

25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph