Definition 8
Tag 0ABG, permanent. Cite it as [Bourbaki, Tag 0ABG].
Lie Groups and Lie Algebras, chapter III, § 3. Passage from a Lie group to its Lie algebra
The representation Ad of G on L(G) is called the adjoint representation of G.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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