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Leibniz algebras on symplectic plane and cohomological vector fields
Leibniz algebras symplectic-Poisson geometry anti-cyclic operads Quantum Algebra
2011/9/16
Abstract: By using help of algebraic operad theory, Leibniz algebra theory and symplectic-Poisson geometry are connected. We introduce the notion of cohomological vector field defined on nongraded sym...
I give a simpler proof of the generalisation of Engel’s Theorem to Leibniz algebras.
On the description of the Leibniz algebras with nilindex n-3
description of the Leibniz algebras nilindex n-3
2011/1/20
In this paper we present the classification of a subclass of natu-rally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence equal to (n−3, 3). For this...
This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Lie's third theorem fo...
Some basic properties of Hom-Leibniz algebras are found. These properties are the Hom-analogue of corresponding well-known properties of Leibniz algebras. Considering the Hom-Akivis algebra associate...
Quasi-filiform Leibniz algebras of maximum length
Lie algebra Leibniz algebra nilpotence natural graduation
2010/12/3
The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 p 2. For Lie algebras whose nilindex is equal to n − 2 there is only one characteristic seque...