Lie groups and Lie algebras: Little g is a Lie algebra

We prove that the thing we have been calling the Lie algebra of a matrix group is indeed a Lie subalgebra of gl(n,R).

[@dannymilman5127]

Thanks for these videos. The explanations are very clear, the exposition methodical and the supplementary material is very helpful.

[@Dion8590]

Greetings from Brazil. Thanks for sharing these videos. Very nice explanations.

[@AnasCobain]

I have a question please , for the choice of \gamma-{3} that you made , is it possible to choose \gamma-{3}=\exp(s[X,Y]) directly without using campbell hausdorf formula , if not tell me why please ?
And thanks , your course is amazing 🤩

[@LemoUtan]

Sorry, but I have to ask - is that sheep or goats in the background?
Great series, btw.

[@jonathanevans27]

@Paul Sampson - That would be sheep.