Corollary

Tag 011B, permanent. Cite it as [Bourbaki, Tag 011B].

Lie Groups and Lie Algebras, chapter VIII, § 4. Split semi-simple Lie algebra defined by a reduced root system

Every framed semi-simple Lie algebra is obtained from a framed semi-simple $\mathbf{Q}$ -Lie algebra by extension of scalars from $\mathbf{Q}$ to $k$ .

This follows immediately from the proposition.

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

Exercise 4, § 4

Cites

Nothing.