Quadratic Lie superalgebras with a reductive even part

DOI10.1016/j.jpaa.2008.09.016zbMath1209.17006OpenAlexW2114623924WikidataQ115345590 ScholiaQ115345590MaRDI QIDQ1004475

Helena Albuquerque, Saïd Benayadi, Maria Elisabete Félix Barreiro Carvalho

Publication date: 10 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/11304

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (16)

Quadratic Malcev Superalgebras with Reductive Even Part ⋮ On deformations of metric Lie superalgebras ⋮ Computer-Aided Study of Double Extensions of Restricted Lie Superalgebras Preserving the Nondegenerate Closed 2-Forms in Characteristic 2 ⋮ Quadratic symplectic Lie superalgebras with a filiform module as an odd part ⋮ Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras ⋮ Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov) ⋮ Double extensions of restricted Lie (super)algebras ⋮ Unnamed Item ⋮ Odd-quadratic Leibniz superalgebras ⋮ Odd-quadratic Lie superalgebras ⋮ Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras ⋮ On Leibniz superalgebras with even part corresponding to \(\mathfrak{sl}_2 \) ⋮ A new characterization of Kac–Moody–Malcev superalgebras ⋮ Quadratic (resp. symmetric) Leibniz superalgebras ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2

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• Algèbres de Lie et produit scalaire invariant
• Double extension of quadratic lie superalgebras
• Structures de certaines algebres de lie quadratiques
• On the structure of symmetric self-dual Lie algebras
• Lie superalgebras

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