An obstruction to represent abelian Lie algebras by unipotent matrices.

Benjumea, 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 -