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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1. Verfasser: Guillemin, Victor 1937-
Weitere Verfasser: Lerman, Eugene, Sternberg, Shlomo
Format: E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 1996
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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. 
700 1 |a Lerman, Eugene 
700 1 |a Sternberg, Shlomo 
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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
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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
TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9780511574788 Volltext
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
url https://doi.org/10.1017/CBO9780511574788
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