Matrix representations | Representation theory episode 2

[@DeathSugar]

I guess we should add category theory and make more arrows :D

[@DandapaniTripaathi]

Thanks a lot for filling the gaps between textbook and intuition

[@AllAnglesMath]

Thanks. Glad to help sharpen your intuition a bit more.

[@callmedeno]

This makes me want to dive back into shilov chapter 1!

[@carloselfrancos7205]

Just watched the previous episode! Very glad to watch this one. Take care

[@cosimobaldi03]

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

[@TurboLoveTrain]

Don't get stressed about it, you'll get tensor. :) How it gets projected matters though...

[@AllAnglesMath]

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 😄

[@TurboLoveTrain]

@@AllAnglesMath I really wish they would teach projective geometry in schools again.

[@6AxisSage]

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

[@TurboLoveTrain]

...When the differential equations have a physical manifestation: Represent! What's your vector victor.

[@AllAnglesMath]

Roger Roger

[@Vannishn]

A representation of an algebra A is an A-Module 🤗