# nLab automorphism Lie group

The automorphism group $Aut(G)$ of a Lie group $G$ itself canonically inherits the structure of a Lie group. Its Lie algebra is the derivation Lie algebra of the Lie algebra $\mathfrak{g}$ of $G$: $Lie(Aut(G)) \simeq \mathfrak{der}(\mathfrak{g})$.

Created on March 7, 2017 at 04:59:41. See the history of this page for a list of all contributions to it.