Introduction to Octonion and Other Non-Associative Algebras in Physics
Introduction to Octonion and Other Non-Associative Algebras in Physics
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.
- Mathematical physics, which we know sells well
- Author very famous in his field
- No other book on this area of mathematical physics
Reviews & endorsements
"This book will remain an excellent source for applications of nonassociative algebras in physics for a long time." Hyo C. Myung, Mathematical Reviews
Product details
August 2005Paperback
9780521017923
152 pages
229 × 151 × 9 mm
0.243kg
2 b/w illus.
Available
Table of Contents
- 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.
