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Classical properties of algebras using a new graph association
(Cornell University, 2017)
We study the relation between algebraic structures and Graph Theory. We have de ned ve di erent weighted digraphs associated to a nite dimensional algebra over a eld in order to tackle important properties of the ...
Artículo
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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
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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 ...
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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 ...
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Algebra of derivations of Lie algebras
(Elsevier, 2001)
We show a method to determine the space of derivations of any Lie algebra, and in particular we apply this method to a special class of Lie algebras, those nilpotent with low nilindex. Most calculations have been supported ...
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Zinbiel superalgebras
(Electronic Journals Project, 2023)
Throughout the present work, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that all Zinbiel superalgebras over an arbitrary field are nilpotent in the same way as occurs for Zinbiel ...
Artículo
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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, ...
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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
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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
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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 ...