# An obstruction to represent abelian Lie algebras by unipotent matrices.

J. C. Benjumea; F. J. Echarte; Núñez, J.,Tenorio, A. F.

Extracta Mathematicae (2004)

- Volume: 19, Issue: 2, page 269-277
- ISSN: 0213-8743

## Access Full Article

top## Abstract

top## How to cite

topBenjumea, J. C., Echarte, F. J., and Núñez, J.,Tenorio, A. F.. "An obstruction to represent abelian Lie algebras by unipotent matrices.." Extracta Mathematicae 19.2 (2004): 269-277. <http://eudml.org/doc/38746>.

@article{Benjumea2004,

abstract = {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.},

author = {Benjumea, J. C., Echarte, F. J., Núñez, J.,Tenorio, A. F.},

journal = {Extracta Mathematicae},

keywords = {Algebra de Lie; Algebras conmutativas; Algebra nilpotente; Grupos de Lie; Matrices},

language = {eng},

number = {2},

pages = {269-277},

title = {An obstruction to represent abelian Lie algebras by unipotent matrices.},

url = {http://eudml.org/doc/38746},

volume = {19},

year = {2004},

}

TY - JOUR

AU - Benjumea, J. C.

AU - Echarte, F. J.

AU - Núñez, J.,Tenorio, A. F.

TI - An obstruction to represent abelian Lie algebras by unipotent matrices.

JO - Extracta Mathematicae

PY - 2004

VL - 19

IS - 2

SP - 269

EP - 277

AB - 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.

LA - eng

KW - Algebra de Lie; Algebras conmutativas; Algebra nilpotente; Grupos de Lie; Matrices

UR - http://eudml.org/doc/38746

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.