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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
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
Naturally Graded 2-Filiform Leibniz Algebras
(Taylor and Francis, 2010)
The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform Lie algebras is known [3], [4], [5], [9]. In this work we deal with the classification of 2-filiform ...
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
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 ...
Artículo
Naturally graded quasi-filiform Leibniz algebras
(Elsevier, 2009)
The classification of naturally graded quasi-filiform Lie algebras is known; they have the characteristic sequence .n - 2; 1; 1/ where n is the dimension of the algebra. In the present paper we deal with naturally graded ...
Artículo
Naturally graded (n-3)--filiform Leibniz algebras
(Elsevier, 2010)
Naturally graded nilpotent p-filiform Leibniz algebras are studied for p > n − 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n − 3)-filiform Leibniz algebras.
Artículo
The Classification of Naturally Graded p-Filiform Leibniz Algebras
(Taylor and Francis, 2010)
In the present article the classification of n-dimensional naturally graded p-filiform (1 ≤ p ≤ n − 4) Leibniz algebras is obtained. A splitting of the set of naturally graded Leibniz algebras into the families of Lie ...