Corollary

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

Lie Groups and Lie Algebras, chapter V, § 4. The geometric representation of a Coxeter group

If $(W, S)$ is irreducible and finite, E is an absolutely simple W-module.

The finiteness criterion provided by Th. 2 permits the classification of all finite Coxeter groups (cf. Chap. VI, $§ 4$ ). We restrict ourselves here to the following preliminary result:

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

Cited by

Nothing.

Cites

Th. 2