Universal R-matrix as integral operator
Exactly Solvable and Integrable Systems
2009-11-07 v1 High Energy Physics - Theory
Abstract
We derive the integral operator form for the general rational solution of the Yang-Baxter equation with symmetry. Considering the defining relations for the kernel of the R-operator as a system of second order differential equations we observe remarkable reduction to a system of simple first order equations. The obtained kernel of R-operator has a very simple structure. To illustrate all this in the simplest situation we treat also the case.
Cite
@article{arxiv.nlin/0102024,
title = {Universal R-matrix as integral operator},
author = {S. E. Derkachov and D. Karakhanyan and R. Kirschner},
journal= {arXiv preprint arXiv:nlin/0102024},
year = {2009}
}
Comments
26 pages LaTex