About a family of naturally graded no p-filiform Lie algebras.

Camacho, L. M., Gómez, J. R., and González, A. J.. "About a family of naturally graded no p-filiform Lie algebras.." Extracta Mathematicae 20.1 (2005): 1-12. <http://eudml.org/doc/38774>.

@article{Camacho2005,
abstract = {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.},
author = {Camacho, L. M., Gómez, J. R., González, A. J.},
journal = {Extracta Mathematicae},
keywords = {naturally graded Lie algebra of dimension ; characteristic sequence; derived ideal of minimum dimension},
language = {eng},
number = {1},
pages = {1-12},
title = {About a family of naturally graded no p-filiform Lie algebras.},
url = {http://eudml.org/doc/38774},
volume = {20},
year = {2005},
}

TY - JOUR
AU - Camacho, L. M.
AU - Gómez, J. R.
AU - González, A. J.
TI - About a family of naturally graded no p-filiform Lie algebras.
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 1
SP - 1
EP - 12
AB - 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.
LA - eng
KW - naturally graded Lie algebra of dimension ; characteristic sequence; derived ideal of minimum dimension
UR - http://eudml.org/doc/38774
ER -