On pseudo-Euclidean Novikov algebras

DOI10.1016/j.jalgebra.2020.08.007zbMath1467.17012OpenAlexW3059562911MaRDI QIDQ2201072

Hicham Lebzioui

Publication date: 25 September 2020

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.08.007

zbMATH Keywords

Novikov algebrasdouble extensionleft-symmetric algebrasflat pseudo-Euclidean Lie algebrasflat pseudo-Riemannian Lie groups

Mathematics Subject Classification ID

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)

Related Items (3)

Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality ⋮ On a remarkable class of flat pseudo-Riemannian Lie groups ⋮ Flat left-invariant pseudo-Riemannian metrics on quadratic Lie groups

Cites Work

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• Curvatures of left invariant metrics on Lie groups
• Flat pseudo-Riemannian Lie groups
• On flat pseudo-Euclidean nilpotent Lie algebras
• Novikov algebras carrying an invariant Lorentzian symmetric bilinear form
• Novikov structures on solvable Lie algebras
• Flat Nonunimodular Lorentzian Lie Algebras
• Left-invariant Lorentzian flat metrics on Lie groups
• On the nonexistence of closed timelike geodesics in flat Lorentz 2-step nilmanifolds
• Flat left-invariant pseudo-Riemannian metrics on unimodular Lie groups

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