Cohomology of orthosymplectic Lie superalgebra acting on λ-densities on ℝ1|n

DOI10.1142/S0219887817500165zbMath1391.17020OpenAlexW2522397500MaRDI QIDQ2956657

Rim Messaoud, Nabila El Gomdi

Publication date: 18 January 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/s0219887817500165

zbMATH Keywords

cohomologyorthosymplectic superalgebraweighted densities

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Deformations of general structures on manifolds (58H15) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Related Items (1)

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

Cites Work

• On the cohomology of the orthosymplectic superalgebra
• Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
• Conformal symbols and the action of contact vector fields over the superline
• The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology
• Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols

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