Symplectic Fibrations and Multiplicity Diagramsby Victor Guillemin, Eugene Lerman, Shlomo Sternberg
Pub. Date: 06/11/2009
Publisher: Cambridge University Press
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.
- Cambridge University Press
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- 5.90(w) x 9.00(h) x 0.80(d)
Table of Contents1. Symplectic fibrations; 2. Examples of symplectic fibrations: the coadjoint orbit hierarchy; 3. Duistermaat-Heckman polynomials; 4. Symplectic fibrations and multiplicity diagrams; 5. Computations with orbits; Appendices; Bibliography; Index.
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