Lie Algebras 3 -- More ideals, homomorphisms, and isomorphisms.

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[@theelk801]

babe wake up, the new michael penn lie algebra lecture is up

[@datchnac4577]

The perfect couple 😊

[@janbragelmann5818]

Element "Lie Algebra 3" is actually not in the set "Playlist Lie Algebra". Perhaps it ought also to be an element of the playlist.

[@scottswank]

Easy or not, I particularly like the way you include motivations rather than just presenting the material in a purely formal way.

[@timelsen2236]

Very helpful in finally seeing the meat of trivial ideals, their range and null spaces.

[@fangyuan7770]

Really thankful for these lecture videos!

[@matt_hewillow]

Ideals 0:00
Commutator 8:00
Homomorphisms 14:32

[@Zukaarimoto]

Why am I here at 1:14am in the morning? 🤔

[@iabervon]

I'm amused by the result that gl2(C)≈sl2(C)+C, when you can obviously decompose any matrix A into a matrix with trace 0 plus tr(A)I, and the cross terms in these sums obviously commute. On the other hand, it's nice to see that some consequences of a big theorem are clearly true.

[@fungouslobster5123]

My interest in Lie theory surpasses my hatred for algebra

[@bjornfeuerbacher5514]

Where can I find solutions to the problems at the end? I tried to solve them for myself, but I'm not sure if I did it right.
(3) is easy, only tedious. For (2) I got that Witt' is identical to Witt. For (1) I got that one has to choose h = -2l_0, e = -l_-1, f = -l_1.

[@Amazing09112]

Sir on what condition Image of phi equal to L2???