Invariants and derived length of filiform Lie algebras

Abstract

In this work, we study several numerical invariants of filiform Lie algebras that are used to describe this type of algebras. We also analyze the derive length of several families of filiform Lie algebras proving that it is possible to construct families with a large derive length. In order to complement the theoretical study, we show several algorithmic methods that have been used to achieve the previous theoretical results.