group (as an abstract group); termination of the closures of the derived series; having a solvable Lie algebra See also Cartan's criterion Killing form Lie-Kolchin theorem Solvmanifold Dixmier mapping Notes External links EoM article Lie algebra, solvable EoM article Lie group, solvable References . Jean-Pierre Serre: Complex Semisimple Lie Algebras, Springer, Berlin, 2001. Properties of Lie algebras