Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras

DOI10.1080/00927872.2015.1085550zbMath1395.17003OpenAlexW2344329842MaRDI QIDQ5740607

Samiha Hidri, Saïd Benayadi

Publication date: 27 July 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1085550

zbMATH Keywords

Leibniz algebradouble extension\(T^\ast\)-extensionLevi-Civita productleft (resp. right) invariant bilinear formpseudo-metric on Lie algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (7)

Invariant bilinear forms on Leibniz superalgebras ⋮ On metric Leibniz algebras and deformations ⋮ Complete description of invariant, associative pseudo-Euclidean metrics on left Leibniz algebras via quadratic Lie algebras ⋮ Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras ⋮ Extensions, crossed modules and pseudo quadratic Lie type superalgebras ⋮ On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz ⋮ Generalized metricn-Leibniz algebras and generalized orthogonal representationof metric Lie algebras

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