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.With its unifying approach to mathematics and
physics, this work will be useful for researchers and graduate
students interested in the many physical applications of bounded
symmetric domains. It will also benefit a wider audience of
mathematicians, physicists, and graduate students working in
relativity, geometry, and Lie theory.
General
Imprint: |
Birkhauser Boston
|
Country of origin: |
Germany |
Series: |
Progress in Mathematical Physics, v. 40 |
Release date: |
April 2005 |
First published: |
December 2004 |
Authors: |
Yaakov Friedman
|
Assisted by: |
Tzvi Scarr
|
Dimensions: |
235 x 155 x 18mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
300 |
Edition: |
1983. Softcover Reprint ed. |
ISBN-13: |
978-0-8176-3339-4 |
Categories: |
Books >
Science & Mathematics >
Physics >
General
|
LSN: |
0-8176-3339-1 |
Barcode: |
9780817633394 |
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