On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz

DOI10.1016/J.DIFGEO.2023.101986OpenAlexW4320726530WikidataQ123365138 ScholiaQ123365138MaRDI QIDQ2693290

Saïd Benayadi, Mohamed Boucetta

Publication date: 20 March 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.101986

zbMATH Keywords

Leibniz algebraquadratic Lie algebrasdouble extensionflat pseudo-Euclidean Lie algebrasleft invariant pseudo-Riemannian metric on Lie groupsLevi-Civita productMilnor Lie algebraspointed Lie rack

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Lie algebras of Lie groups (22E60) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Leibniz algebras (17A32) Linear and affine connections (53B05) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (1)

Pseudo-Euclidean Alternative Algebras

Cites Work

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