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Reduced Poisson actions - MaRDI portal

Reduced Poisson actions (Q1609547)

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scientific article; zbMATH DE number 1782006
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Reduced Poisson actions
scientific article; zbMATH DE number 1782006

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    Reduced Poisson actions (English)
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    15 August 2002
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    Several relations between Lie groups, Lie algebras, Poisson structures and quotient Poisson-Lie groups are given. Dirac structures on the induced quotient manifold are given, and the equivalence of several Poisson homogeneous spaces is established.
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    Poisson action
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    Dirac structure
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    Lie group
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    Lie algebra
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