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arxiv: math/0503410 · v1 · submitted 2005-03-21 · 🧮 math.QA · hep-th· math.RT· nlin.SI

Factorization of the R-matrix.II

classification 🧮 math.QA hep-thmath.RTnlin.SI
keywords algebrasupersymmetryequationproductr-matrixrationalsolutionyang-baxter
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We study the rational solution of the Yang-Baxter equation with the supersymmetry algebra sl(2|1). The R-matrix acting in the tensor product of two arbitrary representations of the supersymmetry algebra can be represented as the product of the simpler "building blocks". We construct in a such way the general rational solution of the Yang-Baxter equation with the supersymmetry algebra sl(2|1).

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