Deformations of Modules of Differential Forms

DOI10.2991/jnmp.2003.10.2.3zbMath1030.17022arXivmath/0310494OpenAlexW3103491521MaRDI QIDQ4707378

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Publication date: 19 February 2004

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310494

zbMATH Keywords

integrabilitydeformationcohomology spacecommutative algebratensor fieldsLie derivativessmooth manifold

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Deformations of general structures on manifolds (58H15) Cohomology of Lie (super)algebras (17B56)

Related Items

\(\mathfrak{osp}(2|2)\)-trivial deformations of modules of weighted densities on the superspace \(\mathbb R^{1|2}\), Second cohomology space of the orthosymplectic Lie superalgebra with coefficients in the Lie superalgebra of superpseudodifferential operators, Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols, Deformation of \(\mathfrak{aff}(1)\)-modules of pseudo-differential operators and symbols, Deformation of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2)\)-modules of symbols, Cohomology of 𝔞𝔣𝔣(m|1) acting on the space of superpseudodifferential operators on the supercircle S1|m, Cohomology of \(\mathfrak {osp}(2|2)\) acting on spaces of linear differential operators on the superspace \(\mathbb{R}^{1|2}\), On the 𝔞𝔣𝔣(m|1)-relative cohomology of the orthosymplectic superalgebra 𝔬𝔰𝔭(m|2) and 𝔞𝔣𝔣(m|1)-trivial deformation, Cohomology of 𝔞𝔣𝔣(2) acting on some modules and deformations, The relative cohomology of the Lie superalgebra of contact vector fields on S1|2, On the cohomology of the spaces of differential operators acting on skewsymmetric tensor fields or on forms, as modules of the Lie algebra of vector fields., Deforming the orthosymplectic Lie superalgebra inside the Lie superalgebra of superpseudodifferential operators, Cohomology and deformation of 𝔞𝔣𝔣(1|1) acting on differential operators, Deformation of 𝔬𝔰𝔭(2|2)-modules of weighted densities on ℝ1|2, Supertransvectants, cohomology, and deformations, On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations, Deformation of \(\mathfrak{vect}(1)\)-modules of symbols, Deforming the Lie superalgebra of contact vector fields on \(S^{1|2}\) inside the Lie superalgebra of pseudodifferential operators on \(S^{1|2}\), Deforming the Lie superalgebra of contact vector fields on \(S^{1|2}\), Deformation of modules of weighted densities on the superspace \(\mathbb{R}^{1| N}\), Deforming 𝔥-trivial the Lie algebra Vect(S¹) inside the Lie algebra of pseudodifferential operators Ψ𝒟𝒪

Cites Work

• Unnamed Item
• Construction of miniversal deformations of Lie algebras
• Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\)
• Deformations of homomorphisms of Lie groups and Lie algebras