Homogeneous symplectic manifolds of Poisson-Lie groups

Simple item page
dc.creatorBaguis, Pierre
dc.date2001-01-17
dc.date.accessioned2026-07-07T04:39:41Z
dc.date.available2026-07-07T04:39:41Z
dc.descriptionSymplectic manifolds which are homogeneous spaces of Poisson-Lie groups are studied in this paper. We show that these spaces are, under certain assumptions, covering spaces of dressing orbits of the Poisson-Lie groups which act on them. The effect of the Poisson induction procedure on such spaces is also examined, thus leading to an interesting generalization of the notion of homogeneous space. Some examples of homogeneous spaces of Poisson-Lie groups are discussed in the light of the previous results.
dc.description15 pages, Plain TeX
dc.identifierhttps://arxiv.org/abs/math/0101139
dc.identifierhttp://arxiv.org/abs/math/0101139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60770
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53C15; 53D17; 53D20
dc.titleHomogeneous symplectic manifolds of Poisson-Lie groups
dc.typetext

Files

Collections

arXiv