Factorization of the R-matrix.I

Details Factorization of the R-matrix.I Factorization of the R-matrix.I

2005-03-19

arxiv.org/abs/math/0503396v1

Mathematics

Quantum Algebra

22 pages

Scientific paper

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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