Flat Nonunimodular Lorentzian Lie Algebras

DOI10.1080/00927872.2015.1087016zbMath1405.17044OpenAlexW2419491147MaRDI QIDQ2817499

Hicham Lebzioui, Mohamed Boucetta

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1087016

zbMATH Keywords

nonunimodular Lie algebrasdouble extensionflat Lorentzian Lie algebrasrepresentations of solvable Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) 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) Lie-admissible algebras (17D25)

Related Items (6)

Left invariant Ricci flat metrics on Lie groups ⋮ On pseudo-Euclidean Novikov algebras ⋮ On a remarkable class of flat pseudo-Riemannian Lie groups ⋮ Flat left-invariant pseudo-Riemannian metrics on unimodular Lie groups ⋮ Flat left-invariant pseudo-Riemannian metrics on quadratic Lie groups ⋮ On flat pseudo-Euclidean nilpotent Lie algebras

Cites Work

• Curvatures of left invariant metrics on Lie groups
• Flat pseudo-Riemannian Lie groups
• Compact flat spacetimes
• The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The nonunimodular case
• Lie groups beyond an introduction

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