rank (Lie algebra)

Let 𝔤 be a finite dimensional Lie algebraMathworldPlanetmath. One can show that all Cartan subalgebrasMathworldPlanetmath 𝔥𝔤 have the same dimension. The rank of 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