Cargando…
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]
|
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. The second half of the book discusses the less familiar octonion algebra, concentrating on its remarkable "triality symmetry" after an appropriate study of Moufang loops. The authors also describe the arithmetics of the quaternions and octonions. The book concludes with a new theory of octonion factorization. |
|---|---|
| Descripción Física: | 1 online resource (xii, 159 pages) : illustrations. |
| Bibliografía: | Includes bibliographical references (pages 149-152) and index. |
| ISBN: | 9781439864180 1439864187 |