Definition 1

Tag 09CY, permanent. Cite it as [Bourbaki, Tag 09CY].

Integration, chapter VII, § 1. Construction of a Haar measure

Let $\mu$ be a measure on $X$ . a) $\mu$ is said to be invariant under $G$ if $\gamma(s)\mu = \mu$ for every $s \in G$ . b) $\mu$ is said to be relatively invariant under $G$ if $\gamma(s)\mu$ is proportional to $\mu$ for every $s \in G$ . c) $\mu$ is said to be quasi-invariant under $G$ if $\gamma(s)\mu$ is equivalent to $\mu$ for every $s \in G$ .

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

Cited by

Nothing.

Cites

Nothing.