Introduction to Octonion and Other Non-Associative Algebras in Physics

Introduction to Octonion and Other Non-Associative Algebras in Physics

by Susumo Okubo
     
 

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…  See more details below

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

Preface
1Introduction1
2Non-associative algebras11
3Hurwitz theorems and octonions21
4Para-Hurwitz and pseudo-octonion algebras40
5Real division algebras and real Clifford algebra51
6Clebsch-Gordan algebras64
7Algebra of physical observables80
8Triple products and ternary systems89
9Non-associative gauge theory115
10Concluding remark130
References131
Index135

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