Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Associative triples and Yang-Baxter equation   We introduce triples of associative algebras as a tool for building solutions
to the Yang-Baxter equation. It turns out that the class of R-matrices thus
obtained is related to a Hecke-like condition, which is formulated for
associative algebras with symmetric cyclic inner product. R-matrices for a
subclass of the $A_n$-type Belavin-Drinfel'd triples are derived in this way.

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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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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: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas