Corollary 1

Tag 01C9, permanent. Cite it as [Bourbaki, Tag 01C9].

Lie Groups and Lie Algebras, chapter IX, § 4. Root system associated to a compact group

G is simply-connected if and only if the family $(K_{\alpha})_{\alpha\in R(G,T)}$ generates $\Gamma (T)$ .

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

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Cites

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