Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization
Quantum Algebra
2007-05-23 v3 Differential Geometry
Abstract
This paper is a continuation of [KS]. We develop the results of [KS] principally in two directions. First, we generalize the main result of [KS], the connection between the solutions of the classical dynamical Yang-Baxter equation and Poisson homogeneous spaces of Poisson Lie groups. We hope that now we present this result in its natural generality. Secondly, we propose a partial quantization of the results of [KS]. [KS] E. Karolinsky and A. Stolin, Classical dynamical r-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras, Lett. Math. Phys., 60 (2002), p.257-274; e-print math.QA/0110319.
Cite
@article{arxiv.math/0309203,
title = {Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization},
author = {Eugene Karolinsky and Kolya Muzykin and Alexander Stolin and Vitaly Tarasov},
journal= {arXiv preprint arXiv:math/0309203},
year = {2007}
}
Comments
18 pages, a new section added