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Factorization of the R-matrix.I

S. E. Derkachov
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Abstract

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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S. E. Derkachov. 2005-03-19. Factorization of the R-matrix.I. https://arxiv.org/abs/math/0503396

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