
Symplectic Fibrations and Multiplicity Diagrams
Cambridge University Press
Published on 28. September 1996
Book
Hardback
240 pages
978-0-521-44323-4 (ISBN)
Description
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.
Reviews / Votes
'The authors take a novel approach, using the techniques of symplectic geometry. They develop in detail some themes that were touched on in Symplectic Techniques in Physics (Guillemin and Sternberg, Cambridge University Press 1994).' L'Enseignement Mathematique 'The book contains a wealth of interesting material ... The book is a very interesting survey of a rapidly developing field of research and it is certainly worth of the effort needed to read and to understand it.' European Mathematical SocietyMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
35 Line drawings, unspecified
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 19 mm
Weight
546 gr
ISBN-13
978-0-521-44323-4 (9780521443234)
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Schweitzer Classification
Persons
Author
Massachusetts Institute of Technology
Massachusetts Institute of Technology
Harvard University, Massachusetts
Content
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; Appendices; Bibliography; Index.