Physical applications of homogeneous balls
Author(s)
Bibliographic Information
Physical applications of homogeneous balls
（Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 40）
Birkhäuser, c2005
Available at / 9 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:530.15/F9142080021974
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Note
Includes bibliographical references (p. [271]-274) and index
Description and Table of Contents
Description
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.
Table of Contents
Preface.- List of Figures.- List of Tables.- Relativity Based on Symmetry.- The Real Spin Domain.- The Complex Spin Factor and Applications.- The Classical Bounded Symmetric Domains.- The Algebraic Structure of Homogeneous Balls.- Classification of JBW-triple Factors.- References.- Index
by "Nielsen BookData"
