Introduction to Octonion and Other Non-Associative Algebras in Physicsby Susumo Okubo, S. Okubo
Pub. Date: 12/28/2003
Publisher: Cambridge University Press
In this book, the author aims to familiarize researchers and graduate students in both physics and mathematics with the application of non-associative algebras in physics.Topics covered by the author range from algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and Yang-Baxter equations. The author also covers non-associative gauge theoretic reformulation of Einstein's general relativity theory and so on. Much of the material found in this book is not available in other standard works.
- Cambridge University Press
- Publication date:
- Montroll Memorial Lecture Series in Mathematical Physics, #2
- Product dimensions:
- 5.98(w) x 8.98(h) x 0.51(d)
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.
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