Spinors for Beginners 12: How the Spin Group Generalizes Quaternions to any Dimension

Описание: Full spinors playlist:    • Spinors for Beginners  
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Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot...

0:00 - Introduction
2:45 - Terminology overview
4:00 - Reflections in 3D space
9:00 - Reflections in 4D spacetime
13:20 - Rotations in 3D space
22:07- Exponentials
26:37 - Rotations + Boosts in 4D spacetime
32:07 - Galilean Boosts
32:42 - Spin(n) Groups
40:27 - Grade Involution
42:07 - Spin(p,q) Groups
44:15 - Transforming Multi-vectors
46:34 - Hestenes Definition of "spinor"