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.

Readership

Graduate students and mathematics and physics researchers working in general quantization theory, symplectic geometry, Hamilton dynamics and representation theory.

Table of Contents

• M. Karasev and E. Novikova -- Non-Lie permutation relations, coherent states, and quantum embedding
• M. Karasev and Y. Vorobjev -- Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds
• V. Itskov, M. Karasev, and Y. Vorobjev -- Infinitesimal Poisson cohomology