Central polynumber algebra and a (baby) Weyl character formula | Math Founds 236 | N J Wildberger

[@francescaerreia8859]

This is off topic but a geometric algebra course by Wildberger would be incredible!

[@KaiseruSoze]

Yes! Please!

[@dailymathjmd3284]

Thank you for all youTube free video s

[@davidreay5911]

Glad to see that you are still making videos Norman. You have a perfect way of teaching. Thank You.

[@theoremus]

This is an interesting way of using polynumbers, instead of exponentials.

[@willnewman9783]

In Humphrey's Lie Algebras book, he has a Weyl character formula with no exponentials

[@davidkeirsey9477]

Very insightful and enlightening. I will look specifically using this insight at the Lie Groups A3 D5[E5] E6 E7 E8 F4 G2, because this finite pattern of 1 Lie Group A3 + 6 Lie Group families have special qualities maybe related to the cosmic and particle zoo via the Sporadic Finite Simple Group Framework.

[@notqueuebad4206]

Fascinating lecture. The approach of using grids as intuition for multinumber arithmetic is something which really piques my interest. After seeing this practice on the channel a couple of years ago, I tried using it (and some previous thought I'd put in that direction) to generalize aspects of positional notation into two dimensions. Unfortunately, I don't think I got very far. Typically important examples (at least as algebraic curves) didn't pan out, and some weird behavior I found in one dimension didn't seem to generalize. Perhaps it's because I was treating reducibility as the enemy while keeping in mind the constraints I'd laid down.

[@accountname1047]

Love this series

[@Unidentifying]

Really nice videos sir, but I noticed an error. S^3 is not the unit sphere, that is S^2, I believe S^3 is not a 3-dimensional space like the sphere you visualize, the 2-sphere is that (S^2). They are important distinctions. S^3 is wildly different. S refers to the surface we embed in R which is a dimension higher. That point, and more of S^3, would be really interesting to get into full detail, I don't think it is trivial.

[@njwildberger]

S^3 is the three dimensional sphere in four dimensional space. It is a Lie group, and just another manifestation of SU(2)

[@Unidentifying]

Do you think that in reality this S^3 group action could still exist in our universe (even though that appears spatially 3 dimensions) , or can we (directly) relate S^3 to 4d space-time? I don't think it is coincidence it is the same representation of the strong force!!!

[@Unidentifying]

Or that this spherical geometry (S^3) is also admitted by the universe, in contrast to only thinking about the universe as Euclidean or R^3 ?

[@Unidentifying]

@@njwildberger I know you're not a physicist sir, but I am extremely interested in hearing your thoughts on these questions. Sorry if you didn't have the time to reply yet

[@brendawilliams8062]

Thankyou