paper

Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation

arXiv:math/0003066

Abstract

An explicit quantization is given of certain skew-symmetric solutions of the classical Yang-Baxter, yielding a family of -matrices which generalize to higher dimensions the Jordanian -matrices. Three different approaches to their construction are given: as twists of degenerations of the Shibukawa-Ueno Yang-Baxter operators on meromorphic functions; as boundary solutions of the quantum Yang-Baxter equation; via a vertex-IRF transformation from solutions to the dynamical Yang-Baxter equation.

Some significant errors and typos corrected

Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation · wovepaper