Double extension of quadratic lie superalgebras

DOI10.1080/00927879908826421zbMath0943.17004OpenAlexW2147192556MaRDI QIDQ4238601

Saïd Benayadi, Hédi Ben Amor

Publication date: 28 June 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826421

zbMATH Keywords

Lie superalgebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

Related Items (39)

Geometric structures on Lie algebras and double extensions ⋮ Non-degenerate Invariant Bilinear Forms on Leibniz Algebras ⋮ Quadratic Malcev Superalgebras with Reductive Even Part ⋮ Invariant bilinear forms on Leibniz superalgebras ⋮ On deformations of metric Lie superalgebras ⋮ Lie algebras with quadratic dimension equal to 2 ⋮ Quadratic Hom-Lie triple systems ⋮ Computer-Aided Study of Double Extensions of Restricted Lie Superalgebras Preserving the Nondegenerate Closed 2-Forms in Characteristic 2 ⋮ Unnamed Item ⋮ Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms ⋮ Quadratic symplectic Lie superalgebras with a filiform module as an odd part ⋮ Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ Singular quadratic Lie superalgebras ⋮ Complete description of invariant, associative pseudo-Euclidean metrics on left Leibniz algebras via quadratic Lie algebras ⋮ Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras ⋮ On cohomology and deformations of Jacobi-Jordan algebras ⋮ Contact nilpotent Lie algebras ⋮ 5-dimensional indecomposable contact Lie algebras as double extensions ⋮ Double extensions of restricted Lie (super)algebras ⋮ Quadratic Malcev superalgebras. ⋮ Quadratic Lie superalgebras with the completely reducible action of the even part of the odd part ⋮ Quadratic Color Hom-Lie Algebras ⋮ Quadratic Lie superalgebras generalized by Balinsky-Novikov superalgebras ⋮ Unnamed Item ⋮ LIE SUPERALGEBRAS WITH SOME HOMOGENEOUS STRUCTURES ⋮ Non-degenerate Invariant Bilinear Forms on Lie Color Algebras ⋮ Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras ⋮ 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 ⋮ Quadratic and symplectic structures on 3-(Hom)–ρ-Lie algebras ⋮ Quadratic Lie superalgebras with a reductive even part ⋮ Quadratic symplectic Lie superalgebras and Lie bi-superalgebras ⋮ Solvable Pseudo-Euclidean Jordan Superalgebras ⋮ Symmetric Novikov superalgebras ⋮ Quadratic (resp. symmetric) Leibniz superalgebras ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2 ⋮ Socle and some invariants of quadratic Lie superalgebras

Cites Work

• Unnamed Item
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• Invariant quadratic forms on finite dimensional lie algebras
• LIE BI-SUPERALGEBRAS AND THE GRADED CLASSICAL YANG-BAXTER EQUATION
• Structures de certaines algebres de lie quadratiques
• Lie superalgebras

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