Examples and patterns on quadratic Lie algebras

DOI10.1007/978-3-031-32707-0_2arXiv2210.08257OpenAlexW4385355210MaRDI QIDQ6119367

Jorge Roldán-López, Pilar Benito

Publication date: 22 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.08257

zbMATH Keywords

latticebilinear formquadraticdouble extension\(T^*\)-extension

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

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• Lie algebras with quadratic dimension equal to 2
• Lorentzian cones in real Lie algebras
• Groupes de Lie munis de métriques bi-invariantes. (Lie groups admitting bi-invariant metrics)
• Free nilpotent Lie algebras admitting ad-invariant metrics
• Classification of quadratic Lie algebras of low dimension
• Invariant quadratic forms on finite dimensional lie algebras
• Algèbres de Lie et produit scalaire invariant
• A Construction of Lie Algebras From J-Ternary Algebras
• Lie algebras with ad-invariant metrics. A survey
• On the structure of symmetric self-dual Lie algebras
• On the Classification of Metabelian Lie Algebras

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