An obstruction to represent abelian Lie algebras by unipotent matrices.

Título inglés	An obstruction to represent abelian Lie algebras by unipotent matrices.
Título español	Una obstrucción para representar álgebras de Lie abelianas mediante matrices unipotentes.
Autor/es	Benjumea, J. C. ; Echarte, F. J. ; Núñez, J.,Tenorio, A. F.
Organización	Dep. Geom. Topol. Fac. Mat. Univ. Sevilla, Sevilla, España
Revista	0213-8743
Publicación	2004, 19(2): 269-277, 4 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	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 obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.
Clasificación UNESCO	120109
Palabras clave español	Algebra de Lie ; Algebras conmutativas ; Algebra nilpotente ; Grupos de Lie ; Matrices
Código MathReviews	MR2102424
Código Z-Math	Zbl 1076.22015
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