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Artículo
Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras
(Cornell University, 2021)
We classify, up to equivalences, all abelian groups gradings on null-filiform and oneparametric filiform Leibniz algebras. Any grading on a null-filiform Leibniz algebra is toral but there are non-toral gradings on ...
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 ...