rank (Lie algebra)

Let $\mathfrak{g}$ be a finite dimensional Lie algebra. One can show that all Cartan subalgebras $\mathfrak{h}\subset\mathfrak{g}$ have the same dimension. The rank of $\mathfrak{g}$ is defined to be this dimension.

Title	rank (Lie algebra)
Canonical name	RankLieAlgebra
Date of creation	2013-03-22 12:25:07
Last modified on	2013-03-22 12:25:07
Owner	rmilson (146)
Last modified by	rmilson (146)
Numerical id	12
Author	rmilson (146)
Entry type	Definition
Classification	msc 17B20
Defines	rank