Quantization of some Poisson-Lie dynamical r-matrices and Poisson homogeneous spaces

Simple item page
dc.creatorEnriquez, B.
dc.creatorEtingof, P.
dc.creatorMarshall, I.
dc.date2004-03-17
dc.date2004-06-14
dc.date.accessioned2026-07-07T05:06:29Z
dc.date.available2026-07-07T05:06:29Z
dc.descriptionPoisson-Lie (PL) dynamical r-matrices are generalizations of dynamical r-matrices, where the base is a Poisson-Lie group. We prove analogues of basic results for these r-matrices, namely constructions of (quasi)Poisson groupoids and of Poisson homogeneous spaces. We introduce a class of PL dynamical r-matrices, associated to nondegenerate Lie bialgebras with a splitting; this is a generalization of trigonometric r-matrices with an abelian base. We prove a composition theorem for PL dynamical r-matrices, and construct quantizations of the polarized PL dynamical r-matrices. This way, we obtain quantizations of Poisson homogeneous structures on G/L (G a semisimple Lie group, L a Levi subgroup), thereby generalizing earlier constructions.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0403283
dc.identifierhttp://arxiv.org/abs/math/0403283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70487
dc.subjectQuantum Algebra
dc.titleQuantization of some Poisson-Lie dynamical r-matrices and Poisson homogeneous spaces
dc.typetext

Files

Collections

arXiv