Symplectic Geometry and Mathematical Physics: Actes Du Colloque en L'honneur de Jean-Marie Souriau ; [ Conference Held in Aix-en-Provence (France), June 11 - 15, 1990]

Sprednja platnica
P. Donato, C. Duval, J. Elhadad, G.M. Tynman
Springer Science & Business Media, 1991 - 478 strani
This volume contains the proceedings of the conference "Colloque de Goometrie Symplectique et Physique Mathematique" which was held in Aix-en-Provence (France), June 11-15, 1990, in honor of Jean-Marie Souriau. The conference was one in the series of international meetings of the Seminaire Sud Rhodanien de Goometrie, an organization of geometers and mathematical physicists at the Universities of Avignon, Lyon, Mar seille, and Montpellier. The scientific interests of Souriau, one of the founders of geometric quantization, range from classical mechanics (symplectic geometry) and quantization problems to general relativity and astrophysics. The themes of this conference cover "only" the first two of these four areas. The subjects treated in this volume could be classified in the follow ing way: symplectic and Poisson geometry (Arms-Wilbour, Bloch-Ratiu, Brylinski-Kostant, Cushman-Sjamaar, Dufour, Lichnerowicz, Medina, Ouzilou), classical mechanics (Benenti, Holm-Marsden, Marle) , particles and fields in physics (Garcia Perez-Munoz Masque, Gotay, Montgomery, Ne'eman-Sternberg, Sniatycki) and quantization (Blattner, Huebschmann, Karasev, Rawnsley, Roger, Rosso, Weinstein). However, these subjects are so interrelated that a classification by headings such as "pure differential geometry, applications of Lie groups, constrained systems in physics, etc. ," would have produced a completely different clustering! The list of authors is not quite identical to the list of speakers at the conference. M. Karasev was invited but unable to attend; C. Itzykson and M. Vergne spoke on work which is represented here only by the title of Itzykson's talk (Surfaces triangulees et integration matricielle) and a summary of Vergne's talk.

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Some Remarks on Quantization
The Variety of all Invariant Symplectic Structures on
On Singular Reduction of Hamiltonian Spaces
Formes normales de Structures de Poisson
An Exterior Differential Systems Approach to the Cartan Form
The Rotor and the Pendulum
On the Quantization of Poisson Algebras
Simple Quantization Formula
Heisenberg and Isoholonomic Inequalities
Internal Supersymmetry and Superconnections
Quelques remarques sur les variétés de PoissonNijenhuis
Algèbres de Lie graduées et quantification
An Analogue of B G G Resolution for the Quantum SLNGroup
Orbites coadjointes et caractères
Reduction Procedures for Poisson Manifolds
List of Participants

Géométrie des systèmes mécaniques à liaisons actives
Structures de Poisson affines

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