6 papers
A note on the classification of naturally graded Lie algebras with linear characteristic sequence
Jose Maria Ancochea, Rutwig Campoamor
For sufficiently high dimensions, the naturally graded nonsplit nilpotent Lie algebras with linear characteristic sequence are classified.
On the product by generators of characteristically nilpotent Lie S-algebras
Rutwig Campoamor, Jose Maria Ancochea
We introduce the product by generators of complex nilpotent Lie algebras, which is a commutative product obtained from a central extension of the direct sum of Lie algebras. We sho…
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 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,…