Quantum-double for a nonstandard deformation of a Borel subalgebra $sl(2,C)$

Abstract

We give a construction of Drienfeld's quantum double for a nonstandard deformation of Borel subalgebra of $sl(2)$. We construct explicitly some simple representations of this quantum algebra and from the universal R-matrix we obtain the explicit solutions of the Yang-Baxter equation in those cases.

arXiv comment9 pages