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Factorization of the R-matrix.I

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arxiv math/0503396 v1 pith:7S4ZS7WC submitted 2005-03-19 math.QA hep-thmath.RTnlin.SI

classification math.QAhep-thmath.RTnlin.SI
keywords algebrasymmetryequationfactorizationgeneralproductr-matrixrational
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We study the general rational solution of the Yang-Baxter equation with the symmetry algebra sl(3). The R-matrix acting in the tensor product of two arbitrary representations of the symmetry algebra can be represented as the product of the simpler operator -- "building blocks". These operators are constructed explicitly and have simple structure. We construct in a such way the general rational solution of the Yang-Baxter equation with the symmetry algebra sl(3). To illustrate the factorization in the simplest situation we treat also the the sl(2) case.

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  1. The boundary-driven multispecies harmonic process

    math-ph 2026-07 conditional novelty 6.0 of 10

    A multispecies harmonic process with boundary reservoirs is introduced and proven Yang-Baxter integrable via a factorized R-matrix and open-chain K-matrices, with three dual processes.

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