Serious shit. I'm very curious to see some representations of the dihedral groups, apart from the obvious "geometric" one as orthogonal 2x2 matrices or as permutation matrices
Unlike the rotations, the dihedral groups are non-abelian. We will talk about them later in the series, but I wanted to start from a simple example because representation theory is already complicated enough 😄
Great! I wish I had your skill explaining ideas ❤ If you want to see some realtime sims, come have a look at my latest stuff, you might be interested to see the emergent properties if these arrangements
I guess we should add category theory and make more arrows :D
Thanks a lot for filling the gaps between textbook and intuition
Thanks. Glad to help sharpen your intuition a bit more.
Just watched the previous episode! Very glad to watch this one. Take care
This makes me want to dive back into shilov chapter 1!
Serious shit. I'm very curious to see some representations of the dihedral groups, apart from the obvious "geometric" one as orthogonal 2x2 matrices or as permutation matrices
Don't get stressed about it, you'll get tensor.
:) How it gets projected matters though...
Unlike the rotations, the dihedral groups are non-abelian. We will talk about them later in the series, but I wanted to start from a simple example because representation theory is already complicated enough 😄
@@AllAnglesMath
I really wish they would teach projective geometry in schools again.
...When the differential equations have a physical manifestation: Represent!
What's your vector victor.
Roger Roger
Great! I wish I had your skill explaining ideas ❤ If you want to see some realtime sims, come have a look at my latest stuff, you might be interested to see the emergent properties if these arrangements
A representation of an algebra A is an A-Module 🤗