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

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 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"