Deformations of filiform Lie algebras and superalgebras

DOI10.1016/j.geomphys.2010.04.007zbMath1257.17031OpenAlexW1987129042MaRDI QIDQ983913

Rosa María Navarro, Yu. B. Khakimdzhanov

Publication date: 13 July 2010

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.04.007

zbMATH Keywords

cohomologydeformationLie algebrasLie superalgebrasnilpotentfiliform

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (15)

About Filiform Lie Algebras of Order 3 ⋮ On cohomology of filiform Lie superalgebras ⋮ Some irreducible components of the variety of complex \((n + 1)\)-dimensional Leibniz algebras ⋮ Infinitesimal deformations of null-filiform Leibniz superalgebras ⋮ Infinitesimal deformations of filiform Lie algebras of order 3 ⋮ Unnamed Item ⋮ Infinitesimal deformations of naturally graded filiform Leibniz algebras ⋮ On representations of the filiform Lie superalgebra \(L_{m,n}\) ⋮ Cohomology of model filiform Lie superalgebras ⋮ A Gröbner-bases algorithm for the computation of the cohomology of Lie (super) algebras ⋮ Filiform Lie algebras of order 3 ⋮ On naturally graded Lie and Leibniz superalgebras ⋮ Integrable deformations of nilpotent color Lie superalgebras ⋮ A complete description of all the infinitesimal deformations of the Lie superalgebra \(L^{n,m}\) ⋮ Cohomologically rigid solvable Lie superalgebras with model filiform and model nilpotent nilradical

Cites Work

• Some problems concerning to nilpotent Lie superalgebras
• Some deformations of nilpotent Lie superalgebras
• Infinitesimal deformations of the Lie superalgebra \(L^{n,m}\)
• Variety of laws on nilpotent Lie algebras.
• The theory of Lie superalgebras. An introduction
• Low-dimensional filiform Lie algebras
• Cohomology of Lie superalgebras and their generalizations
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
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