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What a cool video! Great work!

Is there a typo @ 8:2, the matrix should have 1 not -1 in the bottom left entry or

yeahhh, i like this style.

this is an amazing video. "real-time" learning is extremely educational

5:30 V is not R or C. V is the vector space. So at least R^n or so.

You SEVERELY underestimate the mental effort necessary to digest even a single one of the definitions you give. Eg groups. No way a viewer with not background in calculus and trigonometry will get this without pondering it for some weeks and reading other sources. Well I clicked on a video which claims to explain rep theory in 20-ish minutes assuming no background. I knew it was doomed to fail.

'seems like its a legit paper... it's in the annals'.... lmao

feel like everyone knows this shit but its impossible to put it into words

the prequel to pascals triangle

excellent intro, my compliments. pity that you did not continue further into the topic.

Thumbs up

14:53 I'm crying "No I will not explain"

Excellent job!!!

Is the bird okay?

Great video! Looking forward to many more

This was just right for me. Thanks for the good intro to this subject.

The way this creator has begun to define his channel is hinting me towards an isomorphism to greatness.

You got 41 k views on your 1st video

This is great, I've had a hard time coming to understand group theory, and your video is one of the best I've seen.

post more videos please!!!

This is a cool video. You explain things in a way that I can actually understand. Thanks

Please do more on the fermat thing. 😃

so the idea of langlands is to have representation of different types of numbers into geometries?

This video was what made me start studying abstract algebra! Thanks for making it!

Actually, this video is wonderful, and I thank you very much for this effort, but I expected more, and I am still waiting for more of your videos, I know that it is very difficult, so thank you

Me-: I finally found a video on TH-cam that explains the FLT proof My mind:_ It's been 20 minutes and there are only 2 minutes left. Me-: I just have to be patient, maybe he will explain the proof in the last two minutes. Video -: And this was what the arrow you see in the proof means hhhhhhhhhhhhh

42

That was basically my linear algebra 1 course))

Good explanation, but I really wish you had mentioned that groups are required to be associative. It’s perhaps their most important property. Associativity is the only reason you’re allowed to think of the operation as a transformation so that representation theory makes sense. What you described is technically called a loop.

Maybe a technical detail you could mention is, that a vector space is more abstract and can be fairly easy defined by a few axioms, or even from the group axioms. And R and C are not the vector space V, they can be the fields over which the scalar multiplication is defined.

This was a brilliant video - super engaging! As an educational video creator myself, I understand how much effort must have been put into this. Liked and subscribed, always enjoy supporting fellow small creators :)

Wonderful!

cool good job

The low thumps in the audio make the video really hard to concentrate on

Mind blowing 😮

Amazing, it's great how you emphasize the importance of maps to more than just functions

Although maybe not the most rigorous treatment you maintained my attention and attracted me to a subject that I thought would be a lot more complex than it is, at least the gist of it.

Amazing first video, i am already introduced in the topic, but i can still feel how good of an introduction this video is, thank you for this educational piece.

How can we find the result matrix from the input group?

👍

What’s the link between group homomorphisms and topological homeomorphisms? I mean they sound similar, and one professor on yt described homeomorphisms in the same way you described homomorphisms, which is that they allow you to deform a difficult problem into a simpler one, and solve the simple case instead.

That is very nice ..very important..very clear.. Thank you

Thanks for the video man. I saw some comments pointomg out at your mistakes, I just want you to know that it's not that big of a deal for the uneducated public. I personally lack a formal education on this topic (only lineal algebra) and now I feel like I can come to understand it better with self study. This video values clarity over rigor and I'm thankful for that, it's not supposed to be a science article after all.

Nice

I'm a CS student and I agree with the passing remark... they never push us hard enough.

I like the format: dry, informative, good clear illustrations.

There is a general phi function for each prime with a novel sequential difference. The square root of the prime, plus a counting number, divided by that sequential difference. For instance phi, as the square root of 5 is the first twin, is divided by 2, returning a cycle of two mantissas. Eleven is the first square prime and its square root, plus a counting number, when divided by 4, yields a repeating cycle of four mantissas. Likewise for 29, the first sexy prime and its recurring cycle of six mantissas. Despite having an unknown finite limit, it is guaranteed that sequential differences among primes climb to at least seventy million, we find there would be so many mantissas in its cycle, too. We can see the universal matrix producing the self-similarity to manifest integer abundances out of this complex array.

great content. i like how you are able to simplify such complex subject into something easy to digest.

Don't know why youtube pushed this video to me, maybe because I watched a bunch of videos on AdS/CFT Duality, which could be a good example of representation.

Great video.