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

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Abstract

For any complex 6-dimensional nilpotent Lie algebra \(\mathfrak{g},\) we compute the strain of all indecomposable 7-dimensional nilpotent Lie algebras which contain \(\mathfrak{g}\) 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.

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  1. Institut Mathématique de Bourgogne, UMR CNRS 5584, Université de Bourgogne, BP 47870, 21078, Dijon Cedex, France

    L. Magnin

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Magnin, L. Determination of 7-Dimensional Indecomposable Nilpotent Complex Lie Algebras by Adjoining a Derivation to 6-Dimensional Lie Algebras. Algebr Represent Theor 13, 723–753 (2010). https://doi.org/10.1007/s10468-009-9172-3

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