Lie algebras 6 -- weights and the invariance lemma

⭐Support the channel⭐
Patreon: / michaelpennmath
Merch: teespring.com/stores/michael-...
My amazon shop: www.amazon.com/shop/michaelpenn
🟢 Discord: / discord
⭐my other channels⭐
Main Channel: / michaelpennmath
non-math podcast: / @thepennpavpodcast7878
⭐My Links⭐
Personal Website: www.michael-penn.net
Instagram: / melp2718
Randolph College Math: www.randolphcollege.edu/mathem...
Research Gate profile: www.researchgate.net/profile/...
Google Scholar profile: scholar.google.com/citations?...

[@NuclearCraftMod]

The applications of weight spaces are some of the seemingly interesting and important things about Lie algebras which I definitely don’t yet understand… at least I now kinda understand what they are!

[@PPolycephalum]

3:45 This statement is true for the complex numbers or other algebraically closed fields but not in general. A matrix over an arbitrary field K is similar to an upper triangular matrix iff it's eigenvalues lie in K.

[@Juniper-111]

thanks for this series! it continues to be super helpful

[@user-sc2gv1ix6l]

sir, please upload missing videos. The content is really useful.

[@wilderuhl3450]

I’m gonna have to rewatch this one 😅

[@LorenzoClemente]

this looks really like a video on linear algebra, not Lie algebras

[@Juniper-111]

can't it be both?

[@valentinodrachuk5692]

Well, aren't Lie algebras vector spaces? he is just giving some practical insights of the results