# Levi decomposition theorem

> a finite dimensional Lie algebra is a semidirect product of a normal solvable ideal and a semisimple subalgebra

**Wikidata**: [Q6535568](https://www.wikidata.org/wiki/Q6535568)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Levi_decomposition)  
**Source**: https://4ort.xyz/entity/levi-decomposition-theorem