Uploaded February 2021 | Updated September 2026, 1 week ago

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This lecture is part of an online graduate course on Lie groups.

We define the Lie algebra of a Lie group in two ways, and show that it satisfied the Jacobi identity. The we calculate the Lie algebras of a few Lie groups.



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