Pseudo-Euclidean Novikov algebras of arbitrary signature

DOI10.1016/J.GEOMPHYS.2024.105334MaRDI QIDQ6638284

M. Boucetta, Hicham Lebzioui, Author name not available (Why is that?)

Publication date: 14 November 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

double extensionleft symmetric algebrasflat pseudo-Euclidean Lie algebrasflat pseudo-Riemannian Lie groupspseudo-Euclidean Novikov algebras

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

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• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• On a remarkable class of flat pseudo-Riemannian Lie groups
• Flat Nonunimodular Lorentzian Lie Algebras
• Left-invariant Lorentzian flat metrics on Lie groups
• Algèbres de Lie et produit scalaire invariant
• Simple novikov algebras with an idempotent
• Modules over novikov algebras of characteristic 0
• Flat left-invariant pseudo-Riemannian metrics on unimodular Lie groups
• Classification of simple Novikov algebras and their irreducible modules of characteristic 0

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