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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 2, Pages 81–84
DOI: https://doi.org/10.4213/faa2906 (Mi faa2906) 		 
Brief communications

Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type

Yu. M. Vorob'ev

Moscow Institute of Electronic Engineering
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DOI: https://doi.org/10.4213/faa2906
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: Poisson isomorphism, coupling Poisson structures, symplectic leaf, Lie algebra.
Received: 11.08.2006
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 2, Pages 148–150
DOI: https://doi.org/10.1007/s10688-008-0022-6
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: Yu. M. Vorob'ev, “Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type”, Funktsional. Anal. i Prilozhen., 42:2 (2008), 81–84; Funct. Anal. Appl., 42:2 (2008), 148–150
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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