Normal forms of Poisson structures
type: Item
instance of: scholarly article
title: Normal forms of Poisson structures
zbMATH Open document ID: 0915.58095
DOI: 10.1007/BF02355727
author: O. V. Lychagina
published in: Mathematical Notes
publication date: 1999-06-29T00:00:00Z
review text: In this paper is considered an application of Poisson cohomology to the problem of formal classification of degenerate Poisson structures. In the paper are also described the normal forms of degenerate Poisson structures in terms of the spectral sequence associated with a filtration on a complex, specially constructed for this purpose.
Mathematics Subject Classification ID: 37G05
zbMATH DE Number: 1238010
zbMATH Keywords: Poisson structures
zbMATH Keywords: normal form
zbMATH Keywords: complex
zbMATH Keywords: Lie-Sulyamin algebra
zbMATH Keywords: filtration
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q3785658
cites work: Les variétés de Poisson et leurs algèbres de Lie associees
cites work: Q4692285
cites work: A differential complex for Poisson manifolds
cites work: The local structure of Poisson manifolds
cites work: Normal forms for smooth Poisson structures
cites work: Normal forms for analytic Poisson structures
description: scientific article; zbMATH DE number 1238010