# 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 RealForm 2013-03-22 13:23:34 2013-03-22 13:23:34 bwebste (988) bwebste (988) 5 bwebste (988) Definition msc 17B99