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Curated by: eigenchris (146 videos)
Full spinors playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hoOo_wMb0b6T44KM_ABZtBs Leave me a tip: https://ko-fi.com/eigenchris Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNotes/tree/master/SpinorsForBeginners Sources to look at: - Wikipedia article on "Representation Theory of the Lorentz Group": https://en.wikipedia.org/wiki/Representation_theory_of_the_Lorentz_group - "Group Theory for Physicsts" by Wu-Ki Tang - "Physics of the Lorentz Group, by Sibel Ba¸skal, Young S Kim, and Marilyn E Noz": https://iopscience.iop.org/book/mono/978-1-6817-4254-0/chapter/bk978-1-6817-4254-0ch1.pdf 0:00 - Review of SU(2) and SL(2,C) 6:39 - sl(2,C)c = su(2)c + su(2)c 10:28 - SL(2,C)c = SU(2)c x SU(2)c 12:30 - Representations of SL(2,C) and sl(2,C) 16:28 - J and K generator representations 18:55 - The scalar (0,0) irrep 20:32 - The spinor (1/2,0) and (0,1/2) irreps 25:08 - Dirac spinors and gamma5 26:37 - The vector (1/2, 1/2) irrep 35:18 - The bivector (1,0) and (0,1) irreps 45:30 - The rank-2 tensor (1,1) irrep 51:54 - Conclusion