Factorization of the R-matrix.I
Quantum Algebra
2007-05-23 v1 High Energy Physics - Theory
Representation Theory
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math/0503396,
title = {Factorization of the R-matrix.I},
author = {S. E. Derkachov},
journal= {arXiv preprint arXiv:math/0503396},
year = {2007}
}
Comments
22 pages