scientific article

zbMath1333.17002MaRDI QIDQ2927936

Samiha Hidri, Saïd Benayadi

Publication date: 5 November 2014

Full work available at URL: http://www.heldermann.de/JLT/JLT24/JLT243/jlt24033.htm

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zbMATH Keywords

Leibniz algebradouble extension\(T^*\)-extensioncohomology of Leibniz algebrasassociative scalar product

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

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A new approach to Leibniz bialgebras ⋮ 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 ⋮ On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz ⋮ ON REPRESENTATIONS OF SYMMETRIC LEIBNIZ ALGEBRAS ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ Odd-quadratic Leibniz superalgebras ⋮ Derived brackets for fat Leibniz algebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ Special bi-invariant linear connections on Lie groups and finite dimensional Poisson structures ⋮ Leibniz algebras as non-associative algebras ⋮ Quadratic (resp. symmetric) Leibniz superalgebras

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