Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Integrable Model with non-reducible three particle R-Matrix   We define an integrable lattice model which, in the notation of Yang, in
addition to the conventional 2-particle $R$-matrices also contains
non-reducible 3-particle $R$-matrices. The corresponding modified Yang-Baxter
equations are solved and an expression for the transfer matrix is found as a
normal ordered exponential of a (non-local) Hamiltonian.

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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph