Literally the first image you have up on the screen was EXACTLY what I was looking for. Wanted the su(2) algebra as a starting point for understanding su(3) Gell-Mann matrices. Thank you so much! Very good lecture :)
Injective is dual to surjective synthesizes bijective or isomorphism (duality). Antipodal points identify for the rotation group SO(3) -- north poles are dual to south poles (magnets). "Always two there are" -- Yoda. Spinors -- you have to travel around a mobius loop twice to get back to your original position.
Deserves more views in the Web, great stuff here, was really useful in my way to understand TQC !
Keep going :) !
Literally the first image you have up on the screen was EXACTLY what I was looking for. Wanted the su(2) algebra as a starting point for understanding su(3) Gell-Mann matrices. Thank you so much! Very good lecture :)
@Richard Birritella: Glad you found it useful!
Wonderful series. Materials are arranged so nicely so that the learning curve is not extremely steep for beginners like me.
Injective is dual to surjective synthesizes bijective or isomorphism (duality).
Antipodal points identify for the rotation group SO(3) -- north poles are dual to south poles (magnets).
"Always two there are" -- Yoda.
Spinors -- you have to travel around a mobius loop twice to get back to your original position.
Very useful as a physics Master student.
I've been out of the classroom for a while now, can someone remind me what the line above a and b mean?
Someone responded complex conjugate, and then removed the comment, I took another look and i think you're right, so thank you, whoever you are...
@@rileystewart9165 Indeed, thanks to whoever responded: it does indeed mean complex conjugate.