Covariant star-products

DOI10.5802/afst.793zbMath0839.53025OpenAlexW2316881289MaRDI QIDQ1903539

Mohsen Masmoudi

Publication date: 18 June 1996

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1995_6_4_1_77_0

zbMATH Keywords

deformationquantizationsymplectic manifoldstar-product

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric quantization (53D50)

Related Items (2)

Covariant deformations on polarized orbits of a Lie group ⋮ Covariant star product on semi-conformally flat noncommutative Calabi–Yau manifolds and noncommutative topological index theorem

Cites Work

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• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• An explicit *-product on the cotangent bundle of a Lie group
• On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I
• Déformations d'algèbres associées à une variété symplectique (les \(*_\nu\)-produits)
• Deformation theory and quantization. II: Physical applications
• On the deformation of rings and algebras
• Covariance and geometrical invariance in *quantization

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