Example 3

Tag 01KQ, permanent. Cite it as [Bourbaki, Tag 01KQ].

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

More generally, it can be shown that the Lie algebra of any algebraic subgroup of $\mathbf{G}\mathbf{L}(V)$ is decomposable.\*

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

Nothing.