book:go:ch13 - Geometry of the Octonions

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Acknowledgments

Chapter 1: Introduction

Part I: Number Systems

Chapter 2: The Geometry of the Complex Numbers

Chapter 3: The Geometry of the Quaternions

Chapter 4: The Geometry of the Octonions

Chapter 5: Other Number Systems

Part II: Symmetry Groups

Chapter 6: Some Orthogonal Groups

Chapter 7: Some Unitary Groups

Chapter 8: Some Symplectic Groups

Chapter 9: Symmetry Groups over Other Division Algebras

Chapter 10: Lie Groups and Lie Algebras

Chapter 11: The Exceptional Groups

Part III: Applications

Chapter 12: Division Algebras in Mathematics

Chapter 13: Octonionic Eigenvalue Problems

§1. The Eigenvalue Problem for Hermitian Matrices
§2. The $2\times2$ Real Eigenvalue Problem
§3. The $2\times2$ Non-Real Eigenvalue Problem
§4. The $3\times3$ Real Eigenvalue Problem
§5. The $3\times3$ Non-Real Eigenvalue Problem
§6. The Jordan Eigenvalue Problem
§7. Diagonalizing Jordan Matrices

Chapter 14: The Physics of the Octonions

Chapter 15: Magic Squares

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