Algebraic integrability of nonlinear dynamical systems on manifolds : classical and quantum aspects

Preface. Background Notations. 1. Dynamical Systems with Homogeneous Configuration Spaces. 2. Geometric Quantization and Integrable Dynamical Systems. 3. Structures on Manifolds and Algebraic Integrability of Dynamical Systems. 4. Algebraic Methods of Quantum Statistical Mechanics and Their Applications. 5. Algebraic and Differential Geometric Aspects of the Integrability of Nonlinear Dynamical Systems on Infinite-Dimensional Functional Manifolds. References.

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