Déformations d'algèbres associées à une variété symplectique (les \(*_\nu\)-produits)

DOI10.5802/AIF.865zbMath0465.53025OpenAlexW2334276396MaRDI QIDQ1154689

André Lichnerowicz

Publication date: 1982

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_1_157_0

zbMATH Keywords

Lie algebrainvariant connectionsymplectic manifoldLie group operationstar product of Vey

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05)

Related Items (16)

Geometry of the dynamical systems with time-dependent constraints and time-dependent Hamiltonian: An approach towards quantization ⋮ Quantum symmetric spaces ⋮ Existence of natural and projectively equivariant quantizations ⋮ Covariant star-products ⋮ Remarks on symplectic connections ⋮ The set of equivalent classes of invariant star products on \((G;\beta_ 1)\) ⋮ Star products and quantization of Poisson-Lie groups ⋮ Invariant linear connections on homogeneous symplectic varieties ⋮ Remarks on symplectic sectional curvature ⋮ SYMPLECTIC CONNECTIONS ⋮ Differential cohomology of \(C^\infty ({\mathfrak G}^*)\) ⋮ Variétés de Poisson et feuilletages ⋮ Equivalence of star products on a symplectic manifold; an introduction to Deligne's Čech cohomology classes ⋮ Existence of star-products on exact symplectic manifolds ⋮ Triangular dynamical \(r\)-matrices and quantization ⋮ Invariant star-products on symplectic manifolds

Cites Work

• Existence and equivalence of twisted products on a symplectic manifold
• Sur les algèbres formelles associees par déformation à une variété symplectique
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Sur l'algèbre des automorphismes infinitesimaux d'une variété symplectique
• On the deformation of rings and algebras
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