Lie algebras with quadratic dimension equal to 2

DOI10.1016/j.jpaa.2006.07.010zbMath1112.17004OpenAlexW2080229184WikidataQ115345613 ScholiaQ115345613MaRDI QIDQ872179

Saïd Benayadi, Ignacio Bajo

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.07.010

zbMATH Keywords

Lie algebrassymmetric forms

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms ⋮ Invariant metrics on current Lie algebras ⋮ Examples and patterns on quadratic Lie algebras ⋮ Double extensions of restricted Lie (super)algebras ⋮ Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras ⋮ A new invariant of quadratic Lie algebras

Cites Work

• Poisson structures on double Lie groups
• Classical \(r\)-matrices and compatible Poisson structures for Lax equations on Poisson algebras
• Socle and some invariants of quadratic Lie superalgebras
• Algèbres de Lie et produit scalaire invariant
• Double extension of quadratic lie superalgebras
• Lie algebras admitting a unique quadratic structure
• Structures de certaines algebres de lie quadratiques
• On the structure of symmetric self-dual Lie algebras
• Outer Derivations of Lie Algebras
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