Deforming 𝔥-trivial the Lie algebra Vect(S1) inside the Lie algebra of pseudodifferential operators Ψ𝒟𝒪

DOI10.1142/S0219887817500827zbMath1416.17008OpenAlexW2581701724WikidataQ115245361 ScholiaQ115245361MaRDI QIDQ5269945

Issam Bartouli, Imed Basdouri, Jean Lerbet

Publication date: 28 June 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817500827

zbMATH Keywords

cohomologydeformation theoryLie algebrasPoisson Lie algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56)

Related Items (max. 100)

The relative cohomology of the Lie superalgebra of contact vector fields on S1|2

Cites Work

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• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• Homology of the Lie algebra of vector fields on the line
• Construction of miniversal deformations of Lie algebras
• Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\)
• Deformation of \(\mathfrak{vect}(1)\)-modules of symbols
• Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
• On the deformation of rings and algebras. III
• Conformal symbols and the action of contact vector fields over the superline
• DEFORMATIONS OF LIE ALGEBRAS
• Deformations of Modules of Differential Forms
• Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols
• Cohomology and deformations of algebraic structures
• Deformations of homomorphisms of Lie groups and Lie algebras

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