Full spinors playlist:    • Spinors for Beginners  
Leave me a tip: https://kofi.com/eigenchris

Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot...

Wikipedia page with example su(2) reps: https://en.wikipedia.org/wiki/3D_rota...
Wikipedia page about spin angular momentum of light: https://en.wikipedia.org/wiki/Spin_an...
Wikipedia page on helicity in particle physics (and gravitational waves):https://en.wikipedia.org/wiki/Helicit...)

Weinberg book of gravitation (see Chapter 10.8 on gravitational wave helicity): https://archive.org/details/WeinbergS...

0:00 Introduction
0:59 Representation Theory Definitions
3:45 Irreducible Representations
6:00 Ladder Operators (2x2)
10:27 Ladder Commutators
13:12 Raising/Lowering Eigenvectors
18:00 Casimir Operator
24:13 Highest Weight Eigenvector
25:25 Spin1 irrep of su(2)
30:30 Spin3/2 and Spin2 irreps of su(2)
32:12 Rotating Particles
35:23 Proof of one SU(2) irrep per dimension
36:46 One SO(3) irrep per odd dimension
41:07 Differential / Polynomial representations
41:49 Irreps of sl(2,C)