Some properties of complex filiform Lie algebras.

F. J. Echarte Reula; J. R. Gómez Martín; J. Núñez Valdés

Extracta Mathematicae (1992)

  • Volume: 7, Issue: 2-3, page 89-92
  • ISSN: 0213-8743

Abstract

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The purpose of this paper is to study some properties of Filiform Lie Algebras (FLA) and to prove the following theorem: a FLA, of dimension n, is either derived from a Solvable Lie Algebra (SLA) of dimension n+1 or not derived from any LA.

How to cite

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Echarte Reula, F. J., Gómez Martín, J. R., and Núñez Valdés, J.. "Some properties of complex filiform Lie algebras.." Extracta Mathematicae 7.2-3 (1992): 89-92. <http://eudml.org/doc/38314>.

@article{EcharteReula1992,
abstract = {The purpose of this paper is to study some properties of Filiform Lie Algebras (FLA) and to prove the following theorem: a FLA, of dimension n, is either derived from a Solvable Lie Algebra (SLA) of dimension n+1 or not derived from any LA.},
author = {Echarte Reula, F. J., Gómez Martín, J. R., Núñez Valdés, J.},
journal = {Extracta Mathematicae},
keywords = {Algebra de Lie; Algebra nilpotente; Grupos resolubles finitos; Propiedades; filiform nilpotent Lie algebra; solvable Lie algebra},
language = {eng},
number = {2-3},
pages = {89-92},
title = {Some properties of complex filiform Lie algebras.},
url = {http://eudml.org/doc/38314},
volume = {7},
year = {1992},
}

TY - JOUR
AU - Echarte Reula, F. J.
AU - Gómez Martín, J. R.
AU - Núñez Valdés, J.
TI - Some properties of complex filiform Lie algebras.
JO - Extracta Mathematicae
PY - 1992
VL - 7
IS - 2-3
SP - 89
EP - 92
AB - The purpose of this paper is to study some properties of Filiform Lie Algebras (FLA) and to prove the following theorem: a FLA, of dimension n, is either derived from a Solvable Lie Algebra (SLA) of dimension n+1 or not derived from any LA.
LA - eng
KW - Algebra de Lie; Algebra nilpotente; Grupos resolubles finitos; Propiedades; filiform nilpotent Lie algebra; solvable Lie algebra
UR - http://eudml.org/doc/38314
ER -

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