Талалаев Д.В. - Algebraic Structures in Integrable Systems - 3. Poisson Structure

Poisson Structure Талалаев Дмитрий Валерьевич 00:16 Poisson Structure. Hamiltonian Dynamics 06:34 Poisson Brackets of Functions: Definition and Properties 22:25 Problem: Poisson Structure Defined by an Arbitrary Skew-Symmetric Matrix 24:56 Definition: General Poisson Structure on a Manifold 35:14 Theorem (Jacobi Identity for Bivectors) 58:39 Poisson-Lie-Kirillov-Souriau Structure 01:09:14 Symplectic Structure #symplectic_structure