Physical Applications of Homogeneous Balls: v. 40 (Progress in Mathematical Physics) - Hardcover

Friedman, Yaakov

Hardcover

ISBN 10: 0817633391 ISBN 13: 9780817633394

Publisher: Birkhauser Boston, 2005

Synopsis

One of the mathematical challenges of modern physics lies in the development of new tools to efficiently describe different branches of physics within one mathematical framework. This text introduces precisely such a broad mathematical model, one that gives a clear geometric expression of the symmetry of physical laws and is entirely determined by that symmetry.The first three chapters discuss the occurrence of bounded symmetric domains (BSDs) or homogeneous balls and their algebraic structure in physics. The book further provides a discussion of how to obtain a triple algebraic structure associated to an arbitrary BSD; the relation between the geometry of the domain and the algebraic structure is explored as well. The last chapter contains a classification of BSDs revealing the connection between the classical and the exceptional domains.

About this title

Review

"The aim of this book is to present the theory of Jordan algebraic structures (Jordan triple systems) and their geometric counterpart, the so-called homogeneous balls, from the point of view of applications ot mathematical physics: special relativity, spinors and foundational quantum mechanics...The (senior) author has made important research contributions to all three areas described above, and the exposition of the theory and the applications is very careful. This makes the book suitable both for experts and non-experts interested in the applications." ---Mathematical Reviews

From the reviews:

"The aim of this book is to present the theory of Jordan algebraic structures (Jordan triple systems) and their geometric counterpart, the so-called homogeneous balls, from the point of view of applications ot mathematical physics: special relativity, spinors and foundational quantum mechanics...The (senior) author has made important research contributions to all three areas described above, and the exposition of the theory and the applications is very careful. This makes the book suitable both for experts and non-experts interested in the applications." ---Mathematical Reviews

a oeThis fine book provides a highly original approach to theoretical physics, its contents reflecting the authora (TM)s and his ollaboratorsa (TM) copious contributions to many branches of mathematics and physics over the past years.a (ZENTRALBLATT MATH)

Edition details

• Publisher: Birkhauser Boston
• Publication date: 2005
• Language: English
• ISBN 10: 0817633391
• ISBN 13: 9780817633394
• Binding: Hardcover
• Number of pages: 300