scientific article; zbMATH DE number 810086

zbMath0842.16006MaRDI QIDQ4853297

Marc De Wilde, Pierre B. A. Lecomte

Publication date: 21 February 1996

Full work available at URL: http://www.numdam.org/item?id=CM_1995__96_1_99_0

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zbMATH Keywords

star productsdeformationsmultidifferential operatorsHochschild cochainshomotopy maps\(\mathbb{Z}\)-graded Lie algebrasHochschild coboundaryskew-symmetrizationisomorphism on cohomologylinear local mapsnc elementssmooth, Hausdorff, second countable manifoldspace of smooth complex valued functions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Graded Lie (super)algebras (17B70) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Cohomology of Lie (super)algebras (17B56)

Related Items (1)

Formality theorems: from associators to a global formulation

Cites Work

• An explicit *-product on the cotangent bundle of a Lie group
• Local cohomology of the algebra of \(C^\infty\) functions on a connected manifold
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. II: Physical applications
• The cohomology structure of an associative ring
• Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
• Differential Forms On Regular Affine Algebras
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