Yang-Baxter systems, solutions and applications
q-alg
2007-05-23 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
Abstract
Two types of Yang-Baxter systems play roles in the theoretical physics -- constant and colour dependent. The constant systems are used mainly for construction of special Hopf algebra while the colour or spectral dependent for construction of quantum integrable models. Examples of both types together with their particular solutions are presented. The complete solution is known only for the constant system related to the quantized braided groups in the dimension two. The strategy for solution of the system related to quantum doubles is suggested and partial results are presented.
Keywords
Cite
@article{arxiv.q-alg/9711027,
title = {Yang-Baxter systems, solutions and applications},
author = {L. Hlavaty},
journal= {arXiv preprint arXiv:q-alg/9711027},
year = {2007}
}
Comments
13 pages, Latex2e, no figures. Talk given at the conference "Quantum groups, deformations and contractions" at Istanbul, September 1997