Perspectives sur la théorie des pseudogroupes de transformations analytiques de type infini
type: Item
instance of: scholarly article
title: Perspectives sur la théorie des pseudogroupes de transformations analytiques de type infini
zbMATH Open document ID: 0885.22023
DOI: 10.1016/S0393-0440(97)80007-1
author: Niky Kamran
author: Thierry Robart
published in: Journal of Geometry and Physics
publication date: 1998-03-31T00:00:00Z
review text: The authors study the local structure of Lie pseudogroups of infinite type by using the Lie groups of infinite dimension. They consider the formal integration and some formal pseudogroups and obtain a fundamental theorem of the third Lie theorem type in the theory of Lie groups, for a class of transitive Lie pseudogroups of infinite type.
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 1112285
zbMATH Keywords: Infinite dimensional Lie group
zbMATH Keywords: Lie pseudogroup of transformations
reviewed by: Vasile Oproiu
MaRDI profile type: Publication
cites work: Sur l'algèbre des automorphismes infinitesimaux d'une variété symplectique
cites work: Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
cites work: Q3882993
cites work: Q3821314
cites work: Q4328350
cites work: Espaces fibres en algèbres de Lie et en groupes
cites work: Groups of diffeomorphisms and the motion of an incompressible fluid
cites work: Théorie itérative: Introduction à la théorie des invariants holomorphes
cites work: Q5562042
cites work: Q3806159
cites work: Sur la structure des équations de Lie. II: Equations formellement transitives
cites work: Free subgroups of diffeomorphism groups
cites work: Derivative of the exponential mapping for infinite dimensional Lie groups
cites work: An algebraic model of transitive differential geometry
cites work: The inverse function theorem of Nash and Moser
cites work: Abstract structure for Lie pseudogroups
cites work: On the Local Theory of Continuous Infinite Pseudo Groups I
cites work: On a differential structure for the group of diffeomorphisms
cites work: On the Group of Real Analytic Diffeomorphisms of a Compact Real Analytic Manifold
cites work: Some Integrable Subalgebras of the Lie Algebras of Infinite Dimensional Lie Groups
cites work: Q5595025
cites work: Algèbre de Lie des automorphismes infinitesimaux d'une structure de contact
cites work: Algèbre de Lie des automorphismes infinitésimaux d'une structure unimodulaire
cites work: Les variétés de Poisson et leurs algèbres de Lie associees
cites work: Q3724586
cites work: Infinite dimensional Lie transformation groups
cites work: Vector fields generate few diffeomorphisms
cites work: Q5690780
cites work: On the local theory of infinite pseudogroups of continuous transformations
cites work: The classification of real primitive infinite Lie algebras
cites work: The infinite groups of Lie and Cartan. I: The transitive groups
cites work: Q3327362
cites work: Q3747383
cites work: Deformation of structures on manifolds defined by transitive, continuous pseudogroups. I: Infinitesimal deformations of structure. II: Deformations of structure
cites work: On the Structure of Local Homeomorphisms of Euclidean n-Space, II
cites work: Q3331945
cites work: Q5732711
cites work: Q3858227
cites work: Symplectic manifolds and their Lagrangian submanifolds
cites work: Groupoids: unifying internal and external symmetry. A tour through some examples.
full work available at URL: s0393-0440(97)80007-1
OpenAlex ID: W2006369276
description: scientific article; zbMATH DE number 1112285