Full spinors playlist: • Spinors for Beginners
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Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot...
Physics of the Lorentz Group PDF (hints at how to rewrite tensor product representation): https://iopscience.iop.org/book/mono/...
Previous videos:
SfB #6.1 on BivectorQuaternion equivalence: • Spinors for Beginners 6.1 Equivale...
SfB #9 on Weyl Spinors: • Spinors for Beginners 9: Pauli Spinor...
SfB #10 Double Cover of SO(3): • Spinors for Beginners 10: SU(2) doubl...
SfB #12 Spin Groups: • Spinors for Beginners 12: How the Spi...
0:00 Introduction + Review of SO(3)
1:39 Spin0 representation of SO(3)
4:16 No spin1/2 rep of SO(3)
5:04 SU(2) is the double cover of SO(3)
7:10 su(2) Lie Algebra
10:03 su(2) commutation relations
12:30 Exponentiating su(2) generators
15:50 Rotations of 720 degrees
18:40 Lorentz Group SO+(1,3)
20:44 SL(2,C) and sl(2,C)
25:26 Left and Right SL(2,C) representations
30:27 (1/2, 1/2) tensor product representation
34:39 Complexification of su(2) and sl(2,C)