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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Bibliographic Details

Main Author:	Guillemin, Victor 1937- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1996
Subjects:	Quantentheorie Group theory Quantum theory Representations of groups Symplectic groups Mathematische Physik Symplektische Geometrie
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (xiv, 222 pages)
ISBN:	9780511574788
DOI:	10.1017/CBO9780511574788