Some problems concerning to nilpotent Lie superalgebras

DOI10.1016/j.geomphys.2004.01.003zbMath1069.17004OpenAlexW1992679721MaRDI QIDQ557260

Rosa María Navarro, Yu. B. Khakimdzhanov, J. Remedios Gómez

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.01.003

zbMATH Keywords

superalgebraLienilpotentfiliformnilindex

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Related Items (23)

Odd-quadratic Lie superalgebras with a weak filiform module as an odd part ⋮ Some deformations of nilpotent Lie superalgebras ⋮ Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\) ⋮ Infinitesimal deformations of null-filiform Leibniz superalgebras ⋮ Quadratic symplectic Lie superalgebras with a filiform module as an odd part ⋮ Filiform color Lie superalgebras ⋮ Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ The classification of Leibniz superalgebras of nilindex \(n+m\) \((m\neq 0)\) ⋮ Local superderivations on solvable Lie and Leibniz superalgebras ⋮ Solvable Lie and Leibniz superalgebras with a given nilradical ⋮ Classification of some nilpotent class of Leibniz superalgebras ⋮ Infinitesimal deformations of the Lie superalgebra \(L^{n,m}\) ⋮ On Leibniz superalgebras which even part is 𝔰𝔩2 ⋮ Unnamed Item ⋮ On naturally graded Lie and Leibniz superalgebras ⋮ Deformations of filiform Lie algebras and superalgebras ⋮ Heisenberg superalgebras ⋮ The classification of filiform Leibniz superalgebras of nilindex \(n+m\) ⋮ Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension ⋮ 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 ⋮ On multipliers of pairs of Lie superalgebras ⋮ Completable nilpotent Lie superalgebras

Cites Work

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• Perturbations des superalgèbres de Lie. (Perturbations of Lie superalgebras)
• The theory of Lie superalgebras. An introduction
• The structure of Lie superalgebras with a semisimple even part
• Differentiably simple Lie superalgebras and representations of semisimple Lie superalgebras
• Some remarks on solvable Lie superalgebras
• Lie superalgebras with semisimple even part
• Semisimple Lie superalgebras which are not the direct sums of simple Lie superalgebras
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• Lie superalgebras

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