Deforming the Lie superalgebra of contact vector fields on \(S^{1|2}\)

DOI10.1016/j.geomphys.2009.09.004zbMath1267.17020OpenAlexW2592565563MaRDI QIDQ1049007

Boujemaâ Agrebaoui, Sabeur Mansour

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.09.004

zbMATH Keywords

deformationsLie superalgebra of contact vector fieldsLie superalgebra of superdifferential operators

Mathematics Subject Classification ID

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

Related Items (1)

First space cohomology of the orthosymplectic Lie superalgebra \(\mathfrak {osp}(3|2)\) in the Lie superalgebra of superpseudodifferential operators

Cites Work

• A central extension of the algebra of pseudodifferential symbols
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• 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 subalgebras of Lie algebras
• On the deformation of rings and algebras
• Deforming the Lie Superalgebra of Contact Vector Fields on S1|1 Inside the Lie Superalgebra of Superpseudodifferential Operators on S1|1
• On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2
• Deformations of Modules of Differential Forms
• Deformations of homomorphisms of Lie groups and Lie algebras
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