Deformation of \(\mathfrak{vect}(1)\)-modules of symbols

DOI10.1016/j.geomphys.2009.12.002zbMath1195.47048arXivmath/0702664OpenAlexW1772391698MaRDI QIDQ2268980

Imed Basdouri, Mabrouk Ben Ammar, Béchir Dali, Salem Omri

Publication date: 15 March 2010

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702664

zbMATH Keywords

deformationsdifferential operatorscohomology spacessymbolsLie algebra of polynomial vector fields

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Operator algebras with symbol structure (47L15)

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Cites Work

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• Homology of the Lie algebra of vector fields on the line
• Construction of miniversal deformations of Lie algebras
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• Deformations of subalgebras of Lie algebras
• On the deformation of rings and algebras
• On sl(2)-relative cohomology of the Lie algebra of vector fields and differential operators
• DEFORMATIONS OF LIE ALGEBRAS
• Deformations of Modules of Differential Forms
• Cohomology and deformations in graded Lie algebras
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