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

DOI10.1007/S11868-015-0140-XzbMath1391.17016OpenAlexW2488175418MaRDI QIDQ330598

Nabila Elghomdi, Imed Basdouri, Boujemaâ Agrebaoui, Sarra Hammami

Publication date: 26 October 2016

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-015-0140-x

zbMATH Keywords

cohomologyPoisson superalgebrasuperpseudodifferential operatorsorthosymplectic superalgebra

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Deformation of \(\mathfrak{aff}(1)\)-modules of pseudo-differential operators and symbols ⋮ Homology and cohomology of the super Schrödinger algebra S(1|1) ⋮ First cohomology space of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(n|2)\) in the Lie superalgebra of superpseudodifferential operators

Cites Work

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• Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols
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