Poisson transforms for differential forms

Christoph Harrach

Displaying similar documents to “Poisson transforms for differential forms”

A survey of Nambu-Poisson geometry.

Nakanishi, N. (1999)

Lobachevskii Journal of Mathematics

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A survey on Nambu-Poisson brackets.

Vaisman, I. (1999)

Acta Mathematica Universitatis Comenianae. New Series

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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...