Proposition 44
Tag 0ABH, permanent. Cite it as [Bourbaki, Tag 0ABH].
Lie Groups and Lie Algebras, chapter III, § 3. Passage from a Lie group to its Lie algebra
For all ,
Let . By Proposition 42 (ii) of no. 11 and Corollary 3 to Proposition 43,
Now (no. 6, Proposition 23 (ii)), whence ; then, using Proposition 23 (ii),
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
Cited by
- Proposition 45, § 3
- Lemma 4, § 4
- Corollary 3, § 4
- Proposition 14, § 6
- Proposition 10, § 9
- Proposition 7, § 9
- Lemma 1, § 2