Exercise 2, § 5

Tag 012A, permanent. Cite it as [Bourbaki, Tag 012A].

Lie Groups and Lie Algebras, VIII, 233

We have Aut $_e(\mathfrak{g}) =$ Aut( $\mathfrak{g}$ ) if $\mathfrak{g}$ is splittable, simple, and of type $G_2,F_4$ or $E_8$ .