ON REPRESENTATIONS OF SYMMETRIC LEIBNIZ ALGEBRAS

DOI10.1017/S0017089519000193zbMath1477.17008OpenAlexW2946426679WikidataQ122879400 ScholiaQ122879400MaRDI QIDQ5140624

Saïd Benayadi

Publication date: 16 December 2020

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089519000193

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Lie-admissible algebras (17D25)

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The algebraic and geometric classification of Zinbiel algebras ⋮ Omni-Representations of Leibniz Algebras ⋮ Symplectic structures, product structures and complex structures on Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ Editorial

Cites Work

• A new approach to Leibniz bialgebras
• Some remarks on semisimple Leibniz algebras
• Special bi-invariant linear connections on Lie groups and finite dimensional Poisson structures
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Classification of solvable Leibniz algebras with naturally graded filiform nilradical
• The local integration of Leibniz algebras
• About Leibniz cohomology and deformations of Lie algebras
• Leibniz algebras and Lie algebras
• Some Theorems on Leibniz Algebras
• Algèbres de Leibnitz : définitions, propriétés
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