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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
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
Leibniz algebras of nilindex n-3 with characteristic sequence (n-3, 2, 1)
(Elsevier, 2013)
In this paper we present the classification of a subclass of naturally graded Leibniz algebras. This subclass has the nilindex n−3 and the characteristic sequence (n−3, 2, 1),wheren is the dimension of the algebra. In ...
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 ...
Artículo
On the description of Leibniz algebras with nilindex n−3
(Akadémiai Kiadó, 2011)
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 purpose we use the ...
Artículo
Quasi-filiform Leibniz algebras of maximum length
(Springer, 2011)
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 sequence, (n − 2, 1, 1), while ...
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
Some cohomologically rigid solvable Leibniz algebras
(Elsevier, 2020)
In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such ...
Artículo
p-Filiform Leibniz algebras of maximum length
(Elsevier, 2014)
The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p 3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform ...