Determination of 7-Dimensional Indecomposable Nilpotent Complex Lie Algebras by Adjoining a Derivation to 6-Dimensional Lie Algebras

作者：Magnin L^*

来源：Algebras and Representation Theory, 2010, 13(6): 723-753.

DOI：10.1007/s10468-009-9172-3

• Nilpotent Lie algebras
• 7-dimensional
• Determination
• Adjoining a derivation

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.

• 出版日期2010-12