Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
For any algebra two families of coloured Yang-Baxter operators are constructed, thus producing solutions to the two-parameter quantum Yang-Baxter equation. An open problem about a system of functional equations is stated. The matrix forms of these operators for two and three dimensional algebras are computed. A FRT bialgebra for one of these families is presented. Solutions for the one-parameter quantum Yang-Baxter equation are derived and a Yang-Baxter system constructed.
Keywords
Cite
@article{arxiv.math/0607710,
title = {Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures},
author = {Florin F. Nichita and Deepak Parashar},
journal= {arXiv preprint arXiv:math/0607710},
year = {2007}
}
Comments
13 pages, LaTeX