Symplectic Fibrations and Multiplicity Diagrams

Language: English

Published by Cambridge University Press, GB, 2009

0521111862 / 9780521111867

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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.

Seller Inventory # LU-9780521111867

Title
Symplectic Fibrations and Multiplicity Diagrams
Author
Victor Guillemin, Eugene Lerman, Shlomo Sternberg
Publisher
Cambridge University Press, GB
Publication year
2009
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521111862
ISBN 13
9780521111867
Item weight
360 grams

Rarewaves.com UK

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