Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Littlewood-Richardson Coefficients via Yang-Baxter Equation   The purpose of this paper is to present an interpretation for the
decomposition of the tensor product of two or more irreducible representations
of GL(N) in terms of a system of quantum particles. Our approach is based on a
certain scattering matrix that satisfies a Yang-Baxter type equation. The
corresponding piecewise-linear transformations of parameters give a solution to
the tetrahedron equation. These transformation maps are naturally related to
the dual canonical bases for modules over the quantum enveloping algebra
$U_q(sl_n)$. A byproduct of our construction is an explicit description for the
cone of Kashiwara's parametrizations of dual canonical bases. This solves a
problem posed by Berenstein and Zelevinsky. We present a graphical
interpretation of the scattering matrices in terms of web functions, which are
related to honeycombs of Knutson and Tao.

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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph