Manin pairs and moment maps

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dc.creatorAlekseev, Anton
dc.creatorKosmann-Schwarzbach, Yvette
dc.date1999-09-29
dc.date.accessioned2026-07-07T05:30:57Z
dc.date.available2026-07-07T05:30:57Z
dc.descriptionA Lie group G in a group pair (D,G), integrating a Lie algebra g in a Manin pair (d,g) has a quasi-Poisson structure. We define the quasi-Poisson actions of such Lie groups G, that generalize the Poisson actions of Poisson Lie groups. We define and study the moment maps for those quasi-Poisson actions which are quasi-hamiltonian. These moment maps take values in the homogeneous space D/G. We prove an analogue of the hamiltonian reduction theorem for quasi-Poisson group actions, and we study the symplectic leaves of the orbit spaces of quasi-hamiltonian spaces.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/9909176
dc.identifierhttp://arxiv.org/abs/math/9909176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79169
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleManin pairs and moment maps
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