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Artículo
Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra
(IOPScience, 2016)
In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by squares of elements is represented by one of the finite-dimensional indecomposable ...
Artículo
Leibniz Algebras Whose Semisimple Part is Related to sl2
(Springer, 2017)
In this paper we identify the structure of complex finite-dimensional Leibniz algebras with associated Lie algebras sl1 2⊕sl2 2⊕· · ·⊕sls 2⊕R, where R is a solvable radical. The classifications of such Leibniz algebras ...
Artículo
Naturally graded Zinbiel algebras with nilindex n - 3
(Elsevier, 2014)
We present the classification of a subclass of n-dimensional naturally graded Zinbiel algebras. This subclass has the nilindex n − 3 and the characteristic sequence (n − 3, 2, 1). In fact, this result completes the ...
Artículo
Central extensions of filiform Zinbiel algebras
(Taylor and Francis, 2020)
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an n-dimensional null- filiform Zinbiel ...
Artículo
Leibniz Algebras Constructed by Representations of General Diamond Lie Algebras
(Springer, 2019)
In this paper we construct a minimal faithful representation of the (2m + 2)- dimensional complex general Diamond Lie algebra, Dm(C), which is isomorphic to a subalgebra of the special linear Lie algebra sl(m + 2, C). ...
Artículo
One-generated nilpotent Novikov algebras
(Taylor and Francis, 2020)
We give a classification of 5- and 6-dimensional complex one-generated nilpotent Novikov algebras.