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

Published: 22 October 2023
on channel: eigenchris
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Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot...

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


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