The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family of these algebras with finite arbitrary dimension, when the dimension of the derived ideal is minimum. The use of the package Mathematica 4 has been essential in order to obtain the results.
@article{urn:eudml:doc:38774,
title = {About a family of naturally graded no p-filiform Lie algebras.},
journal = {Extracta Mathematicae},
volume = {20},
year = {2005},
pages = {1-12},
zbl = {1146.17303},
mrnumber = {MR2149120},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38774}
}
Camacho, L. M.; Gómez, J. R.; González, A. J. About a family of naturally graded no p-filiform Lie algebras.. Extracta Mathematicae, Tome 20 (2005) pp. 1-12. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38774/