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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
Algebras de Lie Filiformes de Máxima Longitud
(Universidad de Extremadura, 2001)
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
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
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
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
Mathematica and Heisenberg Type Superalgebras
(Heldermann Verlag, 2006)
With the support of software Mathematica 4.0 we obtain important properties of Heisenberg type superalgebras, this type of superalgebras corresponds to the family of Lie superalgebras that generalize Heisenberg algebras. ...
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 ...