Universal R-matrix as integral operator

Details Universal R-matrix as integral operator Universal R-matrix as integral operator

2001-02-20

arxiv.org/abs/nlin/0102024v1

Nucl.Phys. B618 (2001) 589-616

Nonlinear Sciences

Exactly Solvable and Integrable Systems

26 pages LaTex

Scientific paper

10.1016/S0550-3213(01)00488-6

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.

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