Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization

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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.
18 pages, a new section added

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Quantum Algebra, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/68546

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309203
 http://arxiv.org/abs/math/0309203

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arXiv