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Mostrando ítems 1-9 de 9
Artículo
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 ...
Artículo
3-filiform Lie algebras of dimension 8
(L'université Blaise Pascal, 1999)
We give, up to isomorphism and in dimension 8, all the 3-filiform Lie algebras (whose Goze’s invariant is (n - 3,1,1,1))..
Artículo
Las álgebras de Lie (n-3)-Filiformes como extensiones por derivaciones
(Universidad de Extremadura, 1998)
Artículo
Characterization of complex filiform Lie algebras of dimension 0 according to whether they are or not derived from others
(Universidad de Zaragoza, 1993)
In this paper, we characterize those Complex Filiform Lie Algeoras of dimension 0 which are derived from other Solvable Lie ALgebras of higher dimensions. This result and the previous one given in ({0]) allow us to lind a ...
Artículo
A class of nilpotent lie algebras
(Taylor and Francis, 2000)
A p-filiform Lie algebra g is a nilpotent Lie algebra for which Goze’s invariant is (n–p,1,…,1). These Lie algebras are well known for P ≥ n-4n = dim(g). In this paper we describe the p-filiform Lie algebras, for p = n-5 ...
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
Heisenberg superalgebras
(Taylor and Francis, 2009)
Heisenberg algebras are the only Lie algebras (g, [, ]) which verify [g, g] = Z(g) and dim(Z(g)) = 1, where Z denotes the center of the algebra. We classify nilpotent Lie superalgebras that verify the same algebraic ...
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 ...