[Colored solutions of Yang-Baxter equation from representations of U_{q}gl(2)]
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
We study the Hopf algebra structure and the highest weight representation of a multiparameter version of . The commutation relations as well as other Hopf algebra maps are explicitly given. We show that the multiparameter universal matrix can be constructed directly as a quantum double intertwiner, without using Reshetikhin's transformation. An interesting feature automatically appears in the representation theory: it can be divided into two types, one for generic , the other for being a root of unity. When applying the representation theory to the multiparameter universal matrix, the so called standard and nonstandard colored solutions of the Yang-Baxter equation is obtained.
Keywords
Cite
@article{arxiv.math-ph/9911029,
title = {[Colored solutions of Yang-Baxter equation from representations of U_{q}gl(2)]},
author = {[Pi-Gang Luan and H. C. Lee and R. B. Zhang]},
journal= {arXiv preprint arXiv:math-ph/9911029},
year = {2015}
}
Comments
[14]pages, latex, no figures