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Item Details
Title: SYMPLECTIC FIBRATIONS AND MULTIPLICITY DIAGRAMS
By: Victor Guillemin, Eugene Lerman, Shlomo Sternberg
Format: Paperback

List price: £41.99
Our price: £36.74
Discount:
12.5% off
You save: £5.25
ISBN 10: 0521111862
ISBN 13: 9780521111867
Availability: Usually dispatched within 1-3 weeks.
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 31 January, 2009
Pages: 240
Description: Applications of the techniques of symplectic geometry to describe 'symmetry breaking' in quantum physics.
Synopsis: 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.
Illustrations: 35 b/w illus.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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