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

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

Thesis by CrystalAnn 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

posted by Coregli0v