The spaces Hn(osp(1∣2),M) for some modules M

DOI10.1063/1.3490194zbMath1309.17001OpenAlexW1517569799MaRDI QIDQ5245821

Mabrouk Ben Ammar, Béchir Dali, Didier Arnal

Publication date: 15 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.3490194

Mathematics Subject Classification ID

Superalgebras (17A70) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Relative cohomology spaces for some osp(n|2)-modules ⋮ Cohomology of 𝔞𝔣𝔣(2) acting on some modules and deformations ⋮ Deformation of 𝔬𝔰𝔭(2|2)-modules of weighted densities on ℝ1|2

Cites Work

• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols
• Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form
• Cohomology of Lie superalgebras
• The theory of Lie superalgebras. An introduction
• The simple modules of the Lie superalgebra \(osp (1,2)\)
• Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
• Lie theory and special functions
• Cohomology of Lie algebras
• Conformal symbols and the action of contact vector fields over the superline
• Cohomology Theory of Lie Groups and Lie Algebras
• Homologie et cohomologie des algèbres de Lie
• Lie superalgebras
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