Induction of Hamiltonian Poisson actions

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dc.creatorBaguis, P.
dc.date2000-12-11
dc.date.accessioned2026-07-07T04:39:09Z
dc.date.available2026-07-07T04:39:09Z
dc.descriptionWe propose a Poisson-Lie analog of the symplectic induction procedure, using an appropriate Poisson generalization of the reduction of symplectic manifolds with symmetry. Having as basic tools the equivariant momentum maps of Poisson actions, the double group of a Poisson-Lie group and the reduction of Poisson manifolds with symmetry, we show how one can induce a Poisson action admitting an equivariant momentum map. We prove that, under certain conditions, the dressing orbits of a Poisson-Lie group can be obtained by Poisson induction from the dressing orbits of a Poisson-Lie subgroup.
dc.description17 pages, Plain TeX file, to appear in Diff. Geom. Appl
dc.identifierhttps://arxiv.org/abs/math/0012076
dc.identifierhttp://arxiv.org/abs/math/0012076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60544
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53C15
dc.titleInduction of Hamiltonian Poisson actions
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