### A survey on Nambu-Poisson brackets.

Vaisman, I. (1999)

Acta Mathematica Universitatis Comenianae. New Series

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Vaisman, I. (1999)

Acta Mathematica Universitatis Comenianae. New Series

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Alan Weinstein (2000)

Banach Center Publications

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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...

Mikami, Kentaro (1999)

Lobachevskii Journal of Mathematics

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Izu Vaisman (1996)

Compositio Mathematica

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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.

Nunes da Costa, J.M. (1997)

Portugaliae Mathematica

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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....

Nobutada Nakanishi (2000)

Banach Center Publications

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First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.

Alex V. Kontorovich, Steven J. Miller (2005)

Acta Arithmetica

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