Universal R-matrix as integral operator Original Research Article

We derive the integral operator form for the general rational solution of the Yang–Baxter equation with sℓ(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 sℓ(2) case.