Representations of Finite Groups | A few more common examples.

[@Debg91]

I used to be a speedcuber (i. e. A person who tries to solve the Rubik's cube as fast as possible) and it helped me a lot to develop an intuition for discrete group theory. Some concepts like permutation, conjugation and cyclic subgroups are actually useful to solve the cube. In this case, the elements of the group are the combinations of face turns together with the operation of composing transformations. Each element of the group can be viewed as a certain scramble or as a certain (very large) square matrix in a matrix representation.

[@tomkerruish2982]

Will you eventually discuss irreducible representations and character tables?

[@schweinmachtbree1013]

Hoping this series will make a comeback

[@waterduck636]

I love your representation theory vids! Since it is really hard for undergraduates to study rep. theory, I really hope you would like to upload more vids on this area.

[@ra-hu3lu]

It's been 2 years wheres the continuation video ? 🥺

[@mathematicalolympiad9157]

I have a nice number theory problem for you Mr Michael The problem: Find all integers (a,b,c,d) such that 1

[@demenion3521]

very nice video! i see the Pauli matrices in your representation of the quaternions :D as a physicist i would love to see you doing a video on Lie groups and their representations :)

[@aliharkatti1145]

Thank you for this video i like your explanation. Can you share more video in representation groupe theory, example , Schur's lemma and Maschke's theorem

[@MrChinos007]

I hope you continue with this series! :)

[@AlexMukatonsky]

You are the best! Thank you so much for so clear explanation

[@Drachensslay]

Awesome video and very clear/clean examples! Thank you!

[@ghislainleonel7291]

Thanks so much for this videos sir. I tend to love your topic/course series videos. Am learning much from them. Thanks once more

[@siyuanchen659]

Thanks. It would be nice if you can teach how to get 4-dimensional real representation of Q8.

[@aliberro]

Your videos are amazing I wish i knew about u thr moment u started this channel ❤️ keep moving forward also feel free to add ads in ur videos i don't mind them on the contrary

[@goodplacetostop2973]

20:56

[@maurocruz1824]

Please more videos on group representations.

[@MistressGlowWorm]

You mean to tell me that Trig turns into Algebra. Freaking sweet.

[@aliakkari5742]

Hi guys . Is this video a part of other videos that talks about it because i don’t really understand what is going on . So ask to send men the playlist. And thx you for that .

[@michaelempeigne3519]

can you do a video on boolean algebra ?

[@ashikak5743]

Pls suggest a best abstract algebra text

[@tomkerruish2982]

As an undergrad, I used Topics in Algebra by Herstein. In grad school, I used Algebra by Artin. YMMV

[@paulmccaffrey2985]

Fascinating.

[@drpkmath12345]

I have a very similar topic in abstract algebra! Good one!

[@kingkartabyo6206]

What are C(k), could you please define? I am a stat major and had only one abstract algebra course

[@MGSchmahl]

By C (k), he means "C, the complex numbers (or k, an arbitrary field)."

[@cristinastoica2630]

cool!

[@MrArmas555]

++

[@vtran30]

Help me solve the problem: Given a sharp angle xOy, M is a fixed point in the angle xOy, through M construct the line d cut Ox, Oy at A, B such that: AB is the smallest

[@integral-magic6061]

Please help me : let function f(x) continuity in (0,1) and integral of f(x)=integral of xf(x) with x:0->1, froof exist c €(0,1) : cf(c^2)=1010 integal f(x) with x:0->c^2. I don't know much about English.