Corollary 1

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

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

If $\lambda \in \mathfrak{h}^*$ and $\lambda \notin P_{++}$ , the $\mathfrak{g}$ -module $E(\lambda ) ($ §6, no. 3) is infinite dimensional.

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

§6, no. 3