On a Remarkable Class of Left-symmetric Algebras and its Relationship with the Class of Novikov Algebras
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Publication:5740563
DOI10.1080/00927872.2015.1065853zbMath1402.17038arXiv1212.3904OpenAlexW2270088041MaRDI QIDQ5740563
Publication date: 27 July 2016
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.3904
Connections (general theory) (53C05) Nonassociative algebras satisfying other identities (17A30) Radical theory (nonassociative rings and algebras) (17A65) Lie-admissible algebras (17D25)
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On a remarkable class of flat pseudo-Riemannian Lie groups, Novikov algebras carrying an invariant Lorentzian symmetric bilinear form, Classification of derivation algebras in low dimensions, On finite dimensional simple Novikov superalgebras
Cites Work
- Unnamed Item
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- Novikov algebras and Novikov structures on Lie algebras
- Three-dimensional affine crystallographic groups
- Distality, completeness, and affine structures
- Existence de certaines connexions plates invariantes sur les groupes de Lie
- On fundamental groups of complete affinely flat manifolds
- Radical d'une algèbre symétrique à gauche
- Affine structures on abelian Lie groups
- A non-affine nilvariety
- Modules for certain Lie algebras of maximal class
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics
- Novikov structures on solvable Lie algebras
- On Real Simple Left-symmetric Algebras
- LR-algebras
- Simply Transitive Groups of Affine Motions
- On radicals of a left-symmetric algebra
- A Class of Nonassociative Algebras
- Domaines bornés homogènes et orbites de groupes de transformations affines
- Examples of compact locally affine spaces
