Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation
Quantum Algebra
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0003066,
title = {Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation},
author = {Robin Endelman and Timothy J. Hodges},
journal= {arXiv preprint arXiv:math/0003066},
year = {2007}
}
Comments
Some significant errors and typos corrected