Corollary 5

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

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

Suppose that $\rho$ and $\rho'$ are finite-dimensional. For $\rho$ and $\rho'$ to be equivalent, it is necessary and sufficient that $L(\rho)$ and $L(\rho')$ be equivalent.

This is a special case of Corollary 4.

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

Cited by

Nothing.

Cites

Corollary 4