First space cohomology of the orthosymplectic Lie superalgebra in the Lie superalgebra of superpseudodifferential operators

DOI10.1007/s10468-011-9292-4zbMath1263.53084OpenAlexW1971483315MaRDI QIDQ1946632

Imed Basdouri

Publication date: 15 April 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-011-9292-4

zbMATH Keywords

cohomologyPoisson superalgebrasuperpseudodifferential operatorsorthosymplectic superalgebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Supermanifolds and graded manifolds (58A50) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60) ``Super (or ``skew) structure (16W55)

Related Items

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

• On the cohomology of the orthosymplectic superalgebra
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• 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
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