Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple proof of associativity and commutativity of LR-coefficients (or
  the hive ring)   We give a simple bijective proof of associativity and commutativity of the
Littlewood-Richardson coefficients or the hive ring. Specifically, we establish
existence a polarized polymatroidal discretely concave functions on the
tetrahedron with given boundary values at two adjoint faces.

10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an