On the Cohomology of the Lie Superalgebra of Contact Vector Fields onS1|m

DOI10.1080/00927870903357735zbMath1191.17005OpenAlexW2138084545MaRDI QIDQ3406604

Sabeur Mansour, Boujemaâ Agrebaoui

Publication date: 19 February 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903357735

zbMATH Keywords

contact vector fieldssupercircleLie superalgebra cohomologysymbols of pseudodifferential operators

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Related Items (4)

First space cohomology of the orthosymplectic Lie superalgebra \(\mathfrak {osp}(3|2)\) in the Lie superalgebra of superpseudodifferential operators ⋮ 1-cocycles on the group of contactomorphisms on the supercircles \(S^{1|1}\) and \(S^{1|2}\) generalizing the Schwarzian derivative ⋮ 1-Cocycles on the group of contactomorphisms on the supercircle S 1|3 generalizing the Schwarzian derivative ⋮ The first cohomology of N = 1 super Virasoro algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Homology of the Lie algebra of vector fields on the line
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• On the cohomology of the spaces of differential operators acting on skewsymmetric tensor fields or on forms, as modules of the Lie algebra of vector fields.
• 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

This page was built for publication: On the Cohomology of the Lie Superalgebra of Contact Vector Fields onS^1|m