Universal $R$-matrix for non-standard quantum $sl(2,\mathbb{R})$

Abstract

A universal $R$-matrix for the non-standard (Jordanian) quantum deformation of $sl(2,\mathbb{R})$ is presented. A family of solutions of the quantum Yang--Baxter equation is obtained from some finite dimensional representations of this Lie bialgebra quantization of $sl(2,\mathbb{R})$.

Revised version to appear in J. Phys. A. LaTeX, 8 pages

References in corpus (1)

• The universal R-matrix for the Jordanian deformation of sl(2), and the contracted forms of so(4)

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