ENGLISH

Symplectic Fibrations and Multiplicity Diagrams

By Victor Guillemin , Shlomo Sternberg , Eugene Lerman

Book information

Publisher
Cambridge University Press
Year
2009
ISBN
0521111862, 9780521111867, 9780521443234
Language
english
Format
PDF
Filesize
2 MB (1744568 bytes)
Edition
1
Pages
238\238
Scanned
yes
Time added
2010-05-31 15:29:46

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, lacunae, 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 (CUP, 1984) , 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.

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