Novikov algebras carrying an invariant Lorentzian symmetric bilinear form

DOI10.1016/j.geomphys.2014.04.007zbMath1361.17003OpenAlexW2092240913MaRDI QIDQ2451738

Mohammed Guediri

Publication date: 4 June 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.04.007

zbMATH Keywords

invariant bilinear formsextensions of left-symmetric algebrasNovikov algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Nonassociative algebras satisfying other identities (17A30)

Related Items (5)

Invariant metrics on Lie groups ⋮ Corrigendum to ``Novikov algebras carrying an invariant Lorentzian symmetric bilinear form ⋮ Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality ⋮ On pseudo-Euclidean Novikov algebras ⋮ Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms

Cites Work

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• Complete left-invariant affine structures on nilpotent Lie groups
• Curvatures of left invariant metrics on Lie groups
• Radical d'une algèbre symétrique à gauche
• The classification of Novikov algebras in low dimensions: invariant bilinear forms
• On a Remarkable Class of Left-symmetric Algebras and its Relationship with the Class of Novikov Algebras

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