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On quaternions and octonions : their geometry, arithmetic, and symmetry /
This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Natick, Mass. :
CRC Press,
[2003]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- I. The complex numbers ; Introduction
- Complex numbers and 2-dimensional geometry
- II. The quaternions ; Quaternions and 3-dimensional groups
- Quaternions and 4-dimensional groups
- The Hurwitz integral quaternions
- III. The octonions ; The composition algebras
- Moufang loops
- Octonions and 8-dimensional geometry
- The Octavian integers O
- Automorphisms and subrings of O
- Reading O mod 2
- The octonian projective plane [doublestruck capital]O[italic capital]P².