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Artículo
An obstruction to represent abelian lie algebras by unipotent matrices
(2004)
The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an ...
Artículo
Links among characteristically nilpotent, c-graded and derived filiform lie algebras
(2005)
The aim of this paper is to study the interconnectivity among Lie algebras that are characteristically nilpotent, derived and c-graded filiform, establishing some characterization theorems involving them. At the same ...
Artículo
Simply connected lie subgroups of the unipotent Lie group of order 4
(Soochow University, Department of Mathematics, 2006-04)
In this paper we obtain simply connected Lie subgroups (up to isomorphism) of the Lie group G4 of upper triangular matrices of order 4 having “1” in its main diagonal. To do it, we determine Lie subalgebras of the Lie ...
Artículo
A constructive method to determine the variety of filiform Lie algebras
(Institute of Mathematics, Czech Academy of Sciences, 2006-12)
In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials ...
Artículo
Description of some families of filiform Lie algebras
(University of Houston, 2008)
In this paper we describe some families of filiform Lie algebras by giving a method which allows to obtain them in any arbitrary dimension n starting from the triple (p, q, m), where m = n and p and q are, respectively, ...
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 ...
Tesis Doctoral
Clasificación de las álgebras de Lie filiformes complejas derivadas de otras álgebras
(1997)
"El problema de la clasificación de las álgebras de Lie se reduce actualmente a la clasificación de las álgebras de Lie resolubles complejas, debido por una parte a al conocida descomposición de Levi de un álgebra de Lie ...
Tesis Doctoral
Grupos de Lie asociados a álgebras de Lie filiformes
(2002)
En esta tesis se plantea el problema de determinar a partir de un álgebra de Lie, cuáles son los grupos Lie cuya álgebra de Lie es L. El objetivo fundamental entonces consiste en introducir mecanismos adecuados para hallar ...