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Symplectic Fibrations and Multiplicity Diagrams (Paperback)
Loot Price: R1,387
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Symplectic Fibrations and Multiplicity Diagrams (Paperback)
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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, 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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