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商品詳細
Physical Applications of Homogeneous Balls. Softcover reprint of the original 1st ed. 2005.
・ISBN 978-1-4612-6493-4 paper EUR 49.99
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| 著者・編者 | Friedman, Yaakov, |
|---|---|
| シリーズ | Progress in Mathematical Physics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2012 |
| ページ数 | 279 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16919＞ |
解説
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.