Nambu-Poisson structures and their foliations.
Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “A new proof of the existence of hierarchies of Poisson-Nijenhuis structures.”
Nambu-Poisson structures and their foliations.
A survey on Nambu-Poisson brackets.
Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Foreword, Contents
Alan Weinstein (2000)
Banach Center Publications
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Reduction of complex Poisson manifolds.
Nunes da Costa, J.M. (1997)
Portugaliae Mathematica
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Poisson structures on cotangent bundles.
Mitric, Gabriel (2003)
International Journal of Mathematics and Mathematical Sciences
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Quantization of pencils with a gl-type Poisson center and braided geometry
Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Complementary 2-forms of Poisson structures
Izu Vaisman (1996)
Compositio Mathematica
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Singularities of Poisson and Nambu structures
Jean-Paul Dufour (2000)
Banach Center Publications
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Linearization and star products
Veronique Chloup (2000)
Banach Center Publications
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The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.
Poisson–Lie sigma models on Drinfel’d double
Jan Vysoký, Ladislav Hlavatý (2012)
Archivum Mathematicum
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Poisson sigma models represent an interesting use of Poisson manifolds for the construction of a classical field theory. Their definition in the language of fibre bundles is shown and the corresponding field equations are derived using a coordinate independent variational principle. The elegant form of equations of motion for so called Poisson-Lie groups is derived. Construction of the Poisson-Lie group corresponding to a given Lie bialgebra is widely known only for coboundary Lie bialgebras....