Commit 2022-02-11 18:25 da76d218
View on Github →feat(measure_theory/measure/haar_quotient): Pushforward of Haar measure is Haar (#11593)
For G
a topological group with discrete subgroup Γ
, the pushforward to the coset space G ⧸ Γ
of the restriction of a both left- and right-invariant measure on G
to a fundamental domain 𝓕
is a G
-invariant measure on G ⧸ Γ
. When Γ
is normal (and under other certain suitable conditions), we show that this measure is the Haar measure on the quotient group G ⧸ Γ
.