Mathematics - Manifolds, Theoretical Physics, Geometry - General & Miscellaneous, Mathematics - Topology, Mathematical Equations - Integral
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Overview
This volume contains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.
Editorials
Booknews
Three papers continue and substantially develop the authors' previous results about nonlinear Poisson brackets, Hamilton dynamics, and quantization, essentially summarizing some new ideas and approaches suggested during a research seminar over the previous five years at the Moscow Institute of Electronics and Mathematics. The papers are Non-Lie permutation representations, coherent states and quantum embedding; Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds; and Infinitesimal Poisson cohomology. No index. Annotation c. by Book News, Inc., Portland, Or.Book Details
Published
March 11, 1999
Publisher
American Mathematical Society
Pages
360
Format
Hardcover
ISBN
9780821811788