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Symplectic Fibrations and Multiplicity Diagrams

Victor Guillemin

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ISBN 10: 0521443237 / ISBN 13: 9780521443234
Published by Cambridge University Press, 1996
New Condition: New Hardcover
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Title: Symplectic Fibrations and Multiplicity ...

Publisher: Cambridge University Press

Publication Date: 1996

Binding: Hardcover

Book Condition:New

Edition: 1.

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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, 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.

Book Description:

Multiplicity diagrams can be viewed as schemes for describing "symmetry breaking" in quantum physics. The authors take a novel approach, using the techniques of symplectic geometry, and developing in detail some themes touched on in Symplectic Techniques in Physics by V. Guillemin and S. Sternberg: 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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