Infinitesimal Deformations of the Model Z3-Filiform Lie Algebra

Abstract

In this work it is considered the vector space composed by the in- finitesimal deformations of the model Z3-filiform Lie algebra L n,m,p . By using these deformations all the Z3-filiform Lie algebras can be obtained, hence the importance of these deformations. The results obtained in this work together to those obtained in (11) and (12), leads to compute the total dimension of the mentioned space of deformations.