A Lie algebroid on the Wiener space

DOI10.1155/2010/146719zbMath1201.81070OpenAlexW2024255643WikidataQ58650036 ScholiaQ58650036MaRDI QIDQ606116

Rémi Léandre

Publication date: 16 November 2010

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223402

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Poisson algebras (17B63)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deformation quantization by Moyal star-product and Stratonovich chaos
• Lebesgue measure in infinite dimension as an infinite-dimensional distribution
• Hochschild cohomology theories in white noise analysis
• Stochastic calculus with anticipating integrands
• Poisson geometry
• Gaussian measures in Banach spaces
• Self-adjointness of elliptic operators with an infinite number of variables
• Banach Lie-Poisson spaces and reduction
• Stochastic algebraic de Rham complexes
• Formal symplectic groupoid
• Deformation quantization of Poisson manifolds
• Quantum probability for probabilists.
• A stochastic Poisson structure
• Deformation quantization in white noise analysis
• Poisson manifolds, Lie algebroids, modular classes: a survey
• Potential theory on Hilbert space
• Transformations of Wiener integrals under translations
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Stochastic Moyal product on the Wiener space
• Dirichlet forms and diffusion processes on rigged Hilbert spaces
• LOCAL LIE ALGEBRAS
• STOCHASTIC ADAMS THEOREM FOR A GENERAL COMPACT MANIFOLD
• THE STOCHASTIC LÉVY LAPLACIAN AND YANG–MILLS EQUATION ON MANIFOLDS
• Invariant measures for unitary groups associated to Kac-Moody Lie algebras
• COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION
• REGULARIZED CALCULUS: AN APPLICATION OF ZETA REGULARIZATION TO INFINITE DIMENSIONAL GEOMETRY AND ANALYSIS
• Fedosov Quantization in White Noise Analysis
• Equivariant cohomology, Fock space and loop groups