Resumen de About a family of Naturally Graded no "p"-filiform Lie algebras

Luisa María Camacho Santana , José Ramón Gómez Martín , A. J. González

• 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.