%0 Journal Article
%T Universal R-matrix as integral operator
%A S. E. Derkachov
%A D. Karakhanyan
%A R. Kirschner
%J Physics
%D 2001
%I arXiv
%R 10.1016/S0550-3213(01)00488-6
%X We derive the integral operator form for the general rational solution of the Yang-Baxter equation with $s\ell(2|1)$ 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 $s\ell(2)$ case.
%U http://arxiv.org/abs/nlin/0102024v1