Remark 3

Tag 013F, permanent. Cite it as [Bourbaki, Tag 013F].

Lie Groups and Lie Algebras, chapter VIII, § 7. Finite dimensional modules over a split semi-simple Lie algebra

Lemma 1 (i) and Prop. 2 remain valid, with the same proof, even if $\mathfrak{g}$ is not assumed to be splittable.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Lemma 1
Prop. 2