SOLVABLE AND NILPOTENTE LIE ALGEBRA

Abstract

Lie algebra L is called Solvable if its derived series terminates in the zero sub algebra and also it is nilpotent if the lower central series became zero eventually. In this thesis we will review the concepts and de nitions of solvable and nilpotent Lie algebra and then describe some important conditions that nite dimensional Lie algebras of characteristic zero are nilpotent and solvable.