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

L. M. Camacho; J. R. Gómez; A. J. González

Extracta Mathematicae (2005)

- Volume: 20, Issue: 1, page 1-12
- ISSN: 0213-8743

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topCamacho, 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 -

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