Corollary 1

Tag 0AF5, permanent. Cite it as [Bourbaki, Tag 0AF5].

Lie Groups and Lie Algebras, chapter III, § 6. Real and complex Lie groups

Let $G$ be a Lie group, $G'$ a Lie subgroup of $G$ and $a \in L(G)$ . The following conditions are equivalent: (i) $a \in L(G')$ ; (ii) $\exp(\lambda a) \in G'$ for all $\lambda \in K$ and $|\lambda|$ sufficiently small; (iii) $\exp(\lambda a) \in G$ for all $\lambda \in K$ . The argument is as in $§ 4$ , no. 4, Corollary 1 to Proposition 8.

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

Cited by

Nothing.

Cites

Proposition 8