This monograph surveys the role of some associative algebras, noted by their appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantions, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions.
| Preface | |
| Introduction | p. 1 |
| Quaternions | p. 7 |
| Octonions | p. 202 |
| Division, Jordan Algebras and Extended Objects | p. 347 |
| References | p. 429 |
| Index | p. 455 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
ISBN: 9789810228637
ISBN-10: 9810228635
Audience:
Professional
Format:
Hardcover
Language:
English
Number Of Pages: 480
Published: 22nd November 1996
Weight (kg): 0.771