Example 2

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

Lie Groups and Lie Algebras, chapter VII, § 5. Decomposable linear Lie algebras

Assume that V has an algebra structure. The set of derivations of V is a decomposable Lie subalgebra of $\mathfrak{g}\mathfrak{l}(V) ($ §1, no. 1, Prop. 4 (ii)).

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

§1, no. 1, Prop. 4