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 show the existence of a left-invariant measure (Haar measure) on a Lie group. and work out several explicit examples of it.

Correction: At 21:40 There is an exponent of -1 missing: the parametrization of the unitary group is (I+iH)(I-iH)^(-1) not (I+iH)(I-iH).

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj53RWBkiHKoOsTw-dGHAoJ-h