🧵 Adjoint Representation
Anonymous at Sun, 28 Jul 2024 14:51:10 UTC No. 16300436
I need someone to explain what the adjoint representation is, I don't get it. I'm loosing it.
Anonymous at Sun, 28 Jul 2024 16:11:24 UTC No. 16300496
[spoiler]It's fake, like the rest of math[/spoiler]
Anonymous at Sun, 28 Jul 2024 16:22:43 UTC No. 16300501
Might as well watch this
https://www.youtube.com/watch?v=gj4
Anonymous at Sun, 28 Jul 2024 16:49:53 UTC No. 16300516
>>16300501
Just what the doctor ordered. Thanks
Anonymous at Sun, 28 Jul 2024 17:05:27 UTC No. 16300546
>>16300436
Have you tried reading the wikipedia? It's pretty clearly described there.
There are two representations going under the label "adjoint representation". The first is Ad with a capital A. It's the derivative of the conjugation action of a Lie group on itself. It's a representation of the Lie group acting on its Lie algebra.
The second adjoint representation is ad with a lower case a. It's the derivative of the first. It is a representation of the Lie algebra acting on itself, and by doing some math it can be identified with the action of taking the commutator (Lie bracket).
Anonymous at Sun, 28 Jul 2024 23:52:10 UTC No. 16301132
>>16300501
can't stand that ching chong's voice
Anonymous at Mon, 29 Jul 2024 03:11:30 UTC No. 16301325
>>16300436
Continuity principle... WTF?