Uploaded February 2021 | Updated September 2026, 2 weeks ago

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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 youtube.com/playlist?list=PL8yHsr3EFj53RWBkiHKoOsTw-dGHAoJ-h