This lecture is part of an online graduate course on Lie groups.
We discuss the modular function of a Lie group, which controls the relation between right and left invariant measures. We show how to use it to tell when a homogeneous space G/H has a G-invariant measure.
I will pause the lectures on Lie groups after this lecture, but will probably continue them sometime later.
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53RWBkiHKoOsTw-dGHAoJ-h