Some remarks on the integration of the Poisson algebra
type: Item
instance of: scholarly article
title: Some remarks on the integration of the Poisson algebra
zbMATH Open document ID: 0865.58003
DOI: 10.1016/0393-0440(95)00039-9
author: Augustin Banyaga
author: Paul Donato
published in: Journal of Geometry and Physics
publication date: 1996-09-18T00:00:00Z
review text: The authors consider the extension of Lie's third theorem for infinite dimensional Lie algebras. They give a new proof of the known result that the Poisson algebra of smooth real functions of a compact symplectic manifold is integrable. This proof one generalizes to the noncompact case and they prove the integrability of the Lie algebra of smooth functions with compact supports on a noncompact symplectic manifold.
Mathematics Subject Classification ID: 58B25
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 22E60
zbMATH DE Number: 927900
zbMATH Keywords: Lie groups
zbMATH Keywords: Poisson algebra
zbMATH Keywords: integrability
zbMATH Keywords: Lie algebra
reviewed by: Enrique Outerelo
MaRDI profile type: Publication
full work available at URL: 0393-0440(95)00039-9
OpenAlex ID: W1978786016
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description: scientific article; zbMATH DE number 927900