Corollary

Tag 00U9, permanent. Cite it as [Bourbaki, Tag 00U9].

Lie Groups and Lie Algebras, chapter VII, § 2. Cartan subalgebras and regular elements of a Lie algebra

Let $\mathscr{C}_n\mathfrak{g}(n\geq 0)$ be a term of the ascending central series of $\mathfrak{g}$ (Chap. I, §1, no. 6). The regular elements of $\mathfrak{g}$ are those whose image in $\mathfrak{g}/\mathscr{C}_n\mathfrak{g}$ is regular.

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

Chap. I, §1, no. 6