Complete descriptions of pseudo-Euclidean left-symmetric \(L\)-algebras and their pseudo-Euclidean modules

DOI10.1016/j.jalgebra.2024.05.038MaRDI QIDQ6588205

Hassan Oubba, Saïd Benayadi

Publication date: 15 August 2024

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

zbMATH Keywords

Lie algebrasMilnor algebrasleft-symmetric algebrasflat pseudo-Euclidean Lie algebrasLevi-Civita productdouble extensions of pseudo-Euclidean left-symmetric algebrasdouble extensions of pseudo-Euclidean modules of left-symmetric algebrasLie-admissible Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

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