Susumo Okubo, S. Okubo

Introduction to Octonion and Other Non-Associative Algebras in Physics

• Broschiertes Buch

Produktbeschreibung

In this book, the author applies non-associative algebras to physics. Okubo covers topics ranging from algebras of observables in quantum mechanics and angular momentum and octonions to division algebra, triple-linear products and YangSHBaxter equations. He also discusses the non-associative gauge theoretic reformulation of Einstein's general relativity theory. Much of the material found in this volume is not available in other works. The book will therefore be of great interest to graduate students and research scientists in physics and mathematics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 152
• Erscheinungstermin: 25. August 2005
• Englisch
• Abmessung: 229mm x 152mm x 8mm
• Gewicht: 231g
• ISBN-13: 9780521017923
• ISBN-10: 0521017920
• Artikelnr.: 22340298

Inhaltsangabe

1. Introduction
2. Non-associative algebras
3. Hurwitz theorems and octonions
4. Para-Hurwitz and pseudo-octonion algebras
5. Real division algebras and Clifford algebra
6. Clebsch-Gordon algebras
7. Algebra of physical observables
8. Triple products and ternary systems
9. Non-associative gauge theory
10. Concluding remarks.