real form

Let $G$ be a complex Lie group. A real Lie group $K$ called a real form of $G$ if $\mathfrak{g}\cong\mathbb{C}\otimes_{\mathbb{R}}\mathfrak{k}$ , where $\mathfrak{g}$ and $\mathfrak{k}$ are the Lie algebras of $G$ and $K$ , respectively.

Title	real form
Canonical name	RealForm
Date of creation	2013-03-22 13:23:34
Last modified on	2013-03-22 13:23:34
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	5
Author	bwebste (988)
Entry type	Definition
Classification	msc 17B99