LIE SUPERALGEBRAS WITH SOME HOMOGENEOUS STRUCTURES

DOI10.1142/S0219498812500958zbMath1303.17012arXiv1011.2516WikidataQ115245688 ScholiaQ115245688MaRDI QIDQ4649493

Saïd Benayadi, Hédi Ben Amor, Imen Ayadi

Publication date: 22 November 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2516

zbMATH Keywords

double extensionscentral extension of Lie superalgebrasgeneralized semi-direct products of Lie superalgebrashomogeneous-Manin Lie superalgebrashomogeneous-quadratic structureshomogeneous-symplectic structures

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Quadratic Color Hom-Lie Algebras ⋮ Odd-quadratic Leibniz superalgebras ⋮ Quadratic and symplectic structures on 3-(Hom)–ρ-Lie algebras

Cites Work

• Classification of finite-dimensional solvable Lie algebras with nondegenerate invariant bilinear forms
• Quadratic symplectic Lie superalgebras and Lie bi-superalgebras
• Socle and some invariants of quadratic Lie superalgebras
• Odd-quadratic Lie superalgebras
• Symplectic structures on quadratic Lie algebras
• Double extension of quadratic lie superalgebras

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