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|Material Type:||Internet resource|
|Document Type:||Book, Internet Resource|
|All Authors / Contributors:||
Victor Guillemin; Eugene Lerman; Shlomo Sternberg
|Description:||xiv, 222 pages : illustrations ; 24 cm|
|Contents:||1. 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 --
App. A. Multiplicity Formulas --
App. B. Equivariant Cohomology --
App. C. Update.
|Responsibility:||Victor Guillemin, Eugene Lerman, Shlomo Sternberg.|
"The subject of this book is the multiplicity diagrams associated with U(n), O(n), and the other classical groups. 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. They develop in detail some themes that were touched on in Symplectic Techniques in Physics (V. Guillemin and S. Sternberg, Cambridge University Press, 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."--Jacket.