A Lie algebroid on the Wiener space
type: Item
instance of: scholarly article
title: A Lie algebroid on the Wiener space
zbMATH Open document ID: 1201.81070
DOI: 10.1155/2010/146719
published in: Advances in Mathematical Physics
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/223402
review text: Summary: We define a Lie algebroid on the space of smooth 1-forms in the Nualart-Pardoux sense on the Wiener space associated to the stochastic linear Poisson structure on the Wiener space defined Léandre (2009).
Mathematics Subject Classification ID: 81R12
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 17B63
Mathematics Subject Classification ID: 81S10
zbMATH DE Number: 5816352
Wikidata QID: Q58650036
author: Rémi Léandre
MaRDI profile type: Publication
OpenAlex ID: W2024255643
cites work: LOCAL LIE ALGEBRAS
cites work: Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
cites work: Q4230666
cites work: A stochastic Poisson structure
cites work: Poisson geometry
cites work: Q3636377
cites work: Formal symplectic groupoid
cites work: Deformation quantization of Poisson manifolds
cites work: Q4507806
cites work: Poisson manifolds, Lie algebroids, modular classes: a survey
cites work: Q4733032
cites work: Q4856603
cites work: Q3821314
cites work: The Lie algebra structure of degenerate Hamiltonian and bi-Hamiltonian systems.
cites work: Q3888209
cites work: ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
cites work: Stochastic Moyal product on the Wiener space
cites work: Deformation quantization in white noise analysis
cites work: Fedosov Quantization in White Noise Analysis
cites work: Hochschild cohomology theories in white noise analysis
cites work: Deformation quantization by Moyal star-product and Stratonovich chaos
cites work: Banach Lie-Poisson spaces and reduction
cites work: Q4842684
cites work: Quantum probability for probabilists.
cites work: Equivariant cohomology, Fock space and loop groups
cites work: Stochastic calculus with anticipating integrands
cites work: Q4892152
cites work: Q4505592
cites work: COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION
cites work: STOCHASTIC ADAMS THEOREM FOR A GENERAL COMPACT MANIFOLD
cites work: Stochastic algebraic de Rham complexes
cites work: THE STOCHASTIC LÉVY LAPLACIAN AND YANG–MILLS EQUATION ON MANIFOLDS
cites work: Transformations of Wiener integrals under translations
cites work: Q5435575
cites work: Lebesgue measure in infinite dimension as an infinite-dimensional distribution
cites work: REGULARIZED CALCULUS: AN APPLICATION OF ZETA REGULARIZATION TO INFINITE DIMENSIONAL GEOMETRY AND ANALYSIS
cites work: Invariant measures for unitary groups associated to Kac-Moody Lie algebras
cites work: Q5587587
cites work: Gaussian measures in Banach spaces
cites work: Q3992729
cites work: Q4197841
cites work: Dirichlet forms and diffusion processes on rigged Hilbert spaces
cites work: Self-adjointness of elliptic operators with an infinite number of variables
cites work: Potential theory on Hilbert space
cites work: Q5471003
description: scientific article; zbMATH DE number 5816352