Introduction to Octonion and Other Non-Associative Algebras in Physics

Introduction to Octonion and Other Non-Associative Algebras in Physics

by Susumo Okubo, S. Okubo
     
 

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ISBN-10: 0521472156

ISBN-13: 9780521472159

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

Overview

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.

Product Details

ISBN-13:
9780521472159
Publisher:
Cambridge University Press
Publication date:
12/28/2003
Series:
Montroll Memorial Lecture Series in Mathematical Physics, #2
Pages:
152
Product dimensions:
5.98(w) x 8.98(h) x 0.51(d)

Related Subjects

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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