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

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dc.creatorKarolinsky, Eugene
dc.creatorMuzykin, Kolya
dc.creatorStolin, Alexander
dc.creatorTarasov, Vitaly
dc.date2003-09-11
dc.date2004-02-19
dc.date.accessioned2026-07-07T05:01:04Z
dc.date.available2026-07-07T05:01:04Z
dc.descriptionThis 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.
dc.description18 pages, a new section added
dc.identifierhttps://arxiv.org/abs/math/0309203
dc.identifierhttp://arxiv.org/abs/math/0309203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68546
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.titleDynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization
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