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Currently Playing: Spinors for Beginners 14: Minimal Left Ideals (and Pacwoman Property)

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 Thesis by Crystal-Ann McKenzie: https://scholar.uwindsor.ca/etd/5652/ 0:00 - Introduction 2:01 - Review of Cl(3,0) 4:28 - Fitting Spinors into Cl(3,0) 8:09 - Minimal Left Ideals 11:39 - Projectors 12:55 - Pacwoman Property 14:17 - Calculating Minimal Left Ideal in Cl(3,0) 17:45 - Spin Operators in Cl(3,0) 19:35 - Dual Spinors and Inner Product 24:40 - Spinor Outer Product 27:20 - Hestenes Definition of Spinors 30:18 - Generalizing to Cl(1,3) 37:10 - Generalizing to Cl(p,q) 41:00 - Faithful Matrix Representations