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Artículo
Residually solvable extensions of pro-nilpotent Leibniz superalgebras
(Elsevier, 2022)
Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz ...
Artículo
Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension
(Taylor and Francis, 2013)
We present the description up to isomorphism of Leibniz superalgebras with the characteristic sequence equal to n m1 mk and nilindex n + m, where m = m1 + · · ·+mk, and n and m (m = 0) are the dimensions ...
Artículo
Complex cyclic Leibniz superalgebras
(Springer, 2020)
Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras, many results of the theory of Lie algebras have been extended to Leibniz algebras. Cyclic Leibniz algebras, which are generated by one ...
Artículo
On the description of Leibniz superalgebras of nilindex n+m
(Walter de Gruyter GmbH, 2012)
In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n + m, where n = n1 + · · ·+nk, n and m (m 6= 0) are dimensions of even and odd parts, ...
Artículo
3-filiform Leibniz algebras of maximum length
(Springer, 2016)
This work completes the study of the solvable Leibniz algebras, more precisely, it completes the classi cation of the 3- liform Leibniz algebras of maximum length [4]. Moreover, due to the good structure of the algebras ...
Artículo
Central extensions of some solvable Leibniz superalgebras
(ScienceDirect, 2023-01)
This work is devoted to the study of central extensions of some solvable Leibniz superalgebras. We show that a solvable Leibniz superalgebra with non-null center can be obtained by central extension of other solvable ones ...
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 constructed by Witt algebras
(Taylor and Francis, 2018)
We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.
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
Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
(Elsevier, 2017)
In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions ...