Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex--IRF correspondence and factorized L-operators for an elliptic
  R-operator   As for an elliptic $R$-operator which satisfies the Yang--Baxter equation,
the incoming and outgoing intertwining vectors are constructed, and the
vertex--IRF correspondence for the elliptic $R$-operator is obtained. The
vertex--IRF correspondence implies that the Boltzmann weights of the IRF model
satisfy the star--triangle relation. By means of these intertwining vectors,
the factorized L-operators for the elliptic $R$-operator are also constructed.
The vertex--IRF correspondence and the factorized L-operators for Belavin's
$R$-matrix are reproduced from those of the elliptic $R$-operator.

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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: supr-con