Geodesic
On $k$-abelian $p$-filiform Lie algebras I
Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 1 
O. R. Campoamor Stursberg. On $k$-abelian $p$-filiform Lie algebras I. Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a6/
@article{AMUC_2002_71_1_a6,
     author = {O. R. Campoamor Stursberg},
     title = {On $k$-abelian $p$-filiform {Lie} algebras {I}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2002},
     volume = {71},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a6/}
}
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Voir la notice de l'article provenant de la source Comenius University

We classify the $\left( n-5\right) $-filiform Lie algebras which have the additional property of a non-abelian derived subalgebra. We show that this property is strongly related with the structure of the Lie algebra of derivations; explicitly we show that if a $\left( n-5\right) $-filiform Lie algebra is characteristically nilpotent, then it must be $2$-abelian. We also give applications to the construction of solvable rigid laws whose nilradical is $k$-abelian with mixed characteristic sequence, as well as applications to the theory of nilalgebras of parabolic subalgebras of the exceptional simple Lie algebra $E_ 6 $.