12 citations · 14 across the 6 of their papers we have counts for
6 papers
Classification of (n-5)-filiform Lie algebras
Jose Maria Ancochea, Otto Rutwig Campoamor
In this paper we consider the problem of classifying the -filiform Lie algebras. This is the first index for which infinite parametrized families appear, as can be seen in d…
Characteristically nilpotent Lie algebras : a survey
Jose Maria Ancochea, Otto Rutwig Campoamor
We review the known results about characteristically nilpotent complex Lie algebras, as well as we comment recent developements in the theory.
On the determination of 2-step solvable Lie algebra from its weight graph
Jose Maria Ancochea, Otto Rutwig Campoamor
By using the concept of weight graph associated to certain nilpotent Lie algebras , we find necessary and sufficient conditions for a semidirect product $\frak{g}\oplus T…
On weight graphs for nilpotent Lie algebras I
Otto Rutwig Campoamor, Jose Maria Ancochea
We introduce the concept of weight graph for the weight system of a finite dimensional nilpotent Lie algebra and analyze the necessary conditions for a $(…
On certain families of naturally graded Lie algebras
Jose Maria Ancochea, Otto Rutwig Campoamor
In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and characteristic sequence (n,q,1), with n odd, satisfying the centralizer property,…
On k-abelian, p-filiform Lie algebras
Otto Rutwig Campoamor
We classify the (n-5)-filiform Lie algebras which have the additional property of a non-abelian derived subalgebra. We show that this property is strongly related with the structur…