Boucetta, M. and Lebzioui, H.
(2016)
*Flat Nonunimodular Lorentzian Lie Algebras.*
Communications in Algebra, 44 (10).
pp. 4185-4195.

## Abstract

A flat Lorentzian Lie algebra is a left symmetric algebra endowed with a symmetric bilinear form of signature (−, +,…, +) such that left multiplications are skew-symmetric. In geometrical terms, a flat Lorentzian Lie algebra is the Lie algebra of a Lie group with a left-invariant Lorentzian metric with vanishing curvature. In this article, we show that any flat nonunimodular Lorentzian Lie algebras can be obtained as a double extension of flat Riemannian Lie algebras. As an application, we give all flat nonunimodular Lorentzian Lie algebras up to dimension 4. © 2016, Copyright © Taylor & Francis Group, LLC.

Item Type: | Article |
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Subjects: | Mathematics |

Divisions: | SCIENTIFIC PRODUCTION > Mathematics |

Depositing User: | Administrateur Eprints Administrateur Eprints |

Last Modified: | 31 Jan 2020 15:48 |

URI: | http://eprints.umi.ac.ma/id/eprint/3980 |

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