Corollary

Tag 0AX6, permanent. Cite it as [Bourbaki, Tag 0AX6].

Lie Groups and Lie Algebras, chapter VI, § 2. Affine Weyl group

The alcove $C$ is an open simplex with vertices 0 and the $\overline{\omega}_i / n_i, i \in I$ .

This follows from (i).

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Nothing.