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- W2952901258 abstract "A 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." @default.
- W2952901258 created "2019-06-27" @default.
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- W2952901258 date "1999-09-29" @default.
- W2952901258 modified "2023-09-27" @default.
- W2952901258 title "Manin pairs and moment maps" @default.
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