Obstructions to the equivalence of Poisson structures near a symplectic leaf of semisimple and compact type

Yu M. Vorobiev

doi:10.1007/s10688-008-0022-6

Obstructions to the equivalence of Poisson structures near a symplectic leaf of semisimple and compact type

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Abstract

We describe cohomological obstructions to the equivalence of Poisson structures around a symplectic leaf of semisimple and compact type. The result is based on Conn's linearization theorem and the theory of Poisson coupling.

Original language	English
Pages (from-to)	148-150
Number of pages	3
Journal	Functional Analysis and its Applications
Volume	42
Issue number	2
DOIs	https://doi.org/10.1007/s10688-008-0022-6
State	Published - Apr 2008

Keywords

Coupling Poisson structures
Lie algebra
Poisson isomorphism
Symplectic leaf

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abstract = "We describe cohomological obstructions to the equivalence of Poisson structures around a symplectic leaf of semisimple and compact type. The result is based on Conn's linearization theorem and the theory of Poisson coupling.",

keywords = "Coupling Poisson structures, Lie algebra, Poisson isomorphism, Symplectic leaf",

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KW - Symplectic leaf

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Obstructions to the equivalence of Poisson structures near a symplectic leaf of semisimple and compact type

Abstract

Keywords

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