Symplectic fibrations and multiplicity diagrams:
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 multipl...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1996
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 222 pages) |
| ISBN: | 9780511574788 |
| DOI: | 10.1017/CBO9780511574788 |
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| 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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| 700 | 1 | |a Lerman, Eugene |e Sonstige |4 oth | |
| 700 | 1 | |a Sternberg, Shlomo |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804176891656011776 |
|---|---|
| any_adam_object | |
| author | Guillemin, Victor 1937- |
| author_facet | Guillemin, Victor 1937- |
| author_role | aut |
| author_sort | Guillemin, Victor 1937- |
| author_variant | v g vg |
| building | Verbundindex |
| bvnumber | BV043945428 |
| classification_rvk | SK 340 SK 950 |
| collection | ZDB-20-CBO |
| contents | Symplectic Fibrations Examples of Symplectic Fibrations: The Coadjoint Orbit Hierarchy Duistermaat-Heckman Polynomials Symplectic Fibrations and Multiplicity Diagrams Computations with Orbits Multiplicity Formulas Equivariant Cohomology Update |
| ctrlnum | (ZDB-20-CBO)CR9780511574788 (OCoLC)849890559 (DE-599)BVBBV043945428 |
| dewey-full | 530.1/2/0151255 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/2/0151255 |
| dewey-search | 530.1/2/0151255 |
| dewey-sort | 3530.1 12 6151255 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511574788 |
| format | Electronic eBook |
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| id | DE-604.BV043945428 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:23Z |
| institution | BVB |
| isbn | 9780511574788 |
| language | English |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiv, 222 pages) |
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| publishDate | 1996 |
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| publisher | Cambridge University Press |
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| spelling | Guillemin, Victor 1937- Verfasser aut Symplectic fibrations and multiplicity diagrams Victor Guillemin, Eugene Lerman, Shlomo Sternberg Symplectic Fibrations & Multiplicity Diagrams Cambridge Cambridge University Press 1996 1 online resource (xiv, 222 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 Symplectic Fibrations 2 Examples of Symplectic Fibrations: The Coadjoint Orbit Hierarchy 3 Duistermaat-Heckman Polynomials 4 Symplectic Fibrations and Multiplicity Diagrams 5 Computations with Orbits App. A. Multiplicity Formulas App. B. Equivariant Cohomology App. C. Update 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 Quantentheorie Group theory Quantum theory Representations of groups Symplectic groups Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Symplektische Geometrie (DE-588)4194232-2 gnd rswk-swf Symplektische Geometrie (DE-588)4194232-2 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Lerman, Eugene Sonstige oth Sternberg, Shlomo Sonstige oth Erscheint auch als Druckausgabe 978-0-521-11186-7 Erscheint auch als Druckausgabe 978-0-521-44323-4 https://doi.org/10.1017/CBO9780511574788 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Guillemin, Victor 1937- Symplectic fibrations and multiplicity diagrams Symplectic Fibrations Examples of Symplectic Fibrations: The Coadjoint Orbit Hierarchy Duistermaat-Heckman Polynomials Symplectic Fibrations and Multiplicity Diagrams Computations with Orbits Multiplicity Formulas Equivariant Cohomology Update Quantentheorie Group theory Quantum theory Representations of groups Symplectic groups Mathematische Physik (DE-588)4037952-8 gnd Symplektische Geometrie (DE-588)4194232-2 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4194232-2 |
| title | Symplectic fibrations and multiplicity diagrams |
| title_alt | Symplectic Fibrations & Multiplicity Diagrams Symplectic Fibrations Examples of Symplectic Fibrations: The Coadjoint Orbit Hierarchy Duistermaat-Heckman Polynomials Symplectic Fibrations and Multiplicity Diagrams Computations with Orbits Multiplicity Formulas Equivariant Cohomology Update |
| 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 |
| topic | Quantentheorie Group theory Quantum theory Representations of groups Symplectic groups Mathematische Physik (DE-588)4037952-8 gnd Symplektische Geometrie (DE-588)4194232-2 gnd |
| topic_facet | Quantentheorie Group theory Quantum theory Representations of groups Symplectic groups Mathematische Physik Symplektische Geometrie |
| url | https://doi.org/10.1017/CBO9780511574788 |
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