Theorem 1 (Tits)
Tag 0ARI, permanent. Cite it as [Bourbaki, Tag 0ARI].
Lie Groups and Lie Algebras, chapter V, § 4. The geometric representation of a Coxeter group
If w ∈ W and C ∩ w(C) ≠ ∅, then w = 1.
We indicate immediately several consequences of this theorem:
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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