Source: wikibot/borel-subalgebra
= Borel subalgebra
{wiki=Borel_subalgebra}
In the context of Lie theory, a **Borel subalgebra** is a type of subalgebra of a Lie algebra that has certain important properties. Specifically, for a complex semisimple Lie algebra \\(\\mathfrak\{g\}\\), a Borel subalgebra is a maximal solvable subalgebra.