Buscar
Mostrando ítems 1-8 de 8
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 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
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
Local Superderivations on Solvable Lie and Leibniz Superalgebras
(Springer, 2023-01-21)
Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many local superderivations which are not standard superderivations. On the other hand, we show that every ...
Artículo
On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical
(Elsevier, 2022)
Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible to Lie and Leibniz superalgebras, respectively. ...
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 ...