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Artículo
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
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 ...
Ponencia
Combinatorial structures of three vertices and Lie algebras
(Computational and Mathematical Methods in Science and Engineering, 2011)
In this paper, we characterize digraphs of 3 vertices associated with Lie algebras according to isomorphism classes of these associated Lie algebras. At this respect, we introduce and implement two algorithmic methods: the ...
Tesis Doctoral
Abelian subalgebras and ideals of maximal dimension in Lie algebras
(2012-03-27)
En esta tesis se han estudiado subálgebras e ideales abelianos de álgebras de Lie, considerando dos invariantes, llamados alfa y beta, que representan el máximo entre la dimensión de todas las subálgebras abelianas (ideales ...
Artículo
Minimal faithful upper-triangular matrix representations for solvable Lie algebras
(Elsevier, 2017-07)
A well-known result on Lie Theory states that every finite-dimensional complex solvable Lie algebra can be represented as a matrix Lie algebra, with upper-triangular square matrices as elements. However, this result does ...
Ponencia
El papel de las webquest en las NTIC
(2008-07)
La ponencia que aquí se presenta persigue un triple objetivo. Por una parte, mostrarle al lector en general, y al profesorado de Secundaria y Bachillerato en particular, el concepto de WebQuest (WQ) y sus principales ...
Artículo
Artículo
Application of statistical techniques for comparing Lie algebra algorithms
(International Center for Scientific Research and Studies Publication, 2012-03)
This paper is devoted to study and compare two algebraic algorithms related to the computation of Lie algebras by using statistical techniques. These techniques allow us to decide which of them is more suitable and less ...
Artículo
Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
(Springer, 2015-04)
In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria ...