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Universal R-matrix as integral operator

S. E. Derkachov·D. Karakhanyan·R. Kirschner
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Abstract

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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S. E. Derkachov, D. Karakhanyan, R. Kirschner. 2001-02-20. Universal R-matrix as integral operator. https://doi.org/10.1016/s0550-3213(01)00488-6

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