Saved in:
| Main Author: | |
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1996
|
| Links: | https://doi.org/10.1017/CBO9780511574788 |
| Summary: | Multiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg, including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical physics will find this book fascinating. |
| Physical Description: | 1 Online-Ressource (xiv, 222 Seiten) |
| ISBN: | 9780511574788 |
Staff View
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| 100 | 1 | |a Guillemin, Victor |d 1937- | |
| 245 | 1 | 0 | |a Symplectic fibrations and multiplicity diagrams |c Victor Guillemin, Eugene Lerman, Shlomo Sternberg |
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| 520 | |a Multiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg, including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical physics will find this book fascinating. | ||
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| spelling | Guillemin, Victor 1937- Symplectic fibrations and multiplicity diagrams Victor Guillemin, Eugene Lerman, Shlomo Sternberg Symplectic Fibrations & Multiplicity Diagrams Cambridge Cambridge University Press 1996 1 Online-Ressource (xiv, 222 Seiten) txt c cr Multiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg, including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical physics will find this book fascinating. Lerman, Eugene Sternberg, Shlomo Erscheint auch als Druck-Ausgabe 9780521111867 Erscheint auch als Druck-Ausgabe 9780521443234 |
| spellingShingle | Guillemin, Victor 1937- Symplectic fibrations and multiplicity diagrams |
| title | Symplectic fibrations and multiplicity diagrams |
| title_alt | Symplectic Fibrations & Multiplicity Diagrams |
| title_auth | Symplectic fibrations and multiplicity diagrams |
| title_exact_search | Symplectic fibrations and multiplicity diagrams |
| title_full | Symplectic fibrations and multiplicity diagrams Victor Guillemin, Eugene Lerman, Shlomo Sternberg |
| title_fullStr | Symplectic fibrations and multiplicity diagrams Victor Guillemin, Eugene Lerman, Shlomo Sternberg |
| title_full_unstemmed | Symplectic fibrations and multiplicity diagrams Victor Guillemin, Eugene Lerman, Shlomo Sternberg |
| title_short | Symplectic fibrations and multiplicity diagrams |
| title_sort | symplectic fibrations and multiplicity diagrams |
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