Determination of 7-dimensional indecomposable nilpotent complex lie algebras by adjoining a derivation to 6-dimensional lie algebras

摘要

For any complex 6-dimensional nilpotent Lie algebra g we compute the strain of all indecomposable 7-dimensional nilpotent Lie algebras which contain g by the adjoining a derivation method. We get a new determination of all 7-dimensional complex nilpotent Lie algebras, allowing to check earlier results (some contain errors), along with a cross table intertwining nilpotent 6- and 7-dimensional Lie algebras.