Overview

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.

Full Product Details

Author:   Feza Gursey (Yale Univ, Usa) ,  Chia-hsiung Tze (Virginia Polytechnic Inst & State Univ, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789810228637

ISBN 10:   9810228635
Pages:   480
Publication Date:   22 November 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Part 1 Quaternions: algebraic structures; Jordan formulation, H-Hilbert spaces and groups; vector products, parallelisms and quaternionic manifolds; quaternionic function theory; arithmetics of quaternions; selected physical applications; historical notes. Part 2 Octonions: algebraic structures; octonionic Hilbert spaces, exceptional groups and algebras; vector products, parallelism on S7 and octonionic manifolds; octonionic function theory; arithmetics of octonions; some physical applications; historical notes. Part 3 Division Jordan algebras and extended objects: Dyson's 3-fold way - time reversal and Berry phases; essential Hopf fibrations and D is greater than or equal to 3 anyonic phenomena; the super-Poincare group and super extended objects.

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