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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2008 Volume 42, Issue 2, Pages 81–84 (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

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.

UDC: 514.76

Received: 11.08.2006

DOI: 10.4213/faa2906


 English version: Functional Analysis and Its Applications, 2008, 42:2, 148–150

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