Artículo
An obstruction to represent abelian lie algebras by unipotent matrices
Autor/es | Benjumea Acevedo, Juan Carlos
Echarte Reula, Francisco Javier Núñez Valdés, Juan Tenorio Villalón, Ángel Francisco |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2004 |
Fecha de depósito | 2015-03-04 |
Publicado en |
|
Resumen | 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 ... 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. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
An obstruction to represent ... | 350.1Kb | [PDF] | Ver/ | |