Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Combinatorics of Crystal Graphs, II. The Crystal Commutator   We present an explicit combinatorial realization of the commutor in the
category of crystals which was first studied by Henriques and Kamnitzer. Our
realization is based on certain local moves defined by van Leeuwen.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex