Induction of Hamiltonian Poisson actions

DOI10.1016/S0926-2245(00)00031-0zbMath0995.53055arXivmath/0012076OpenAlexW1974481871WikidataQ115338374 ScholiaQ115338374MaRDI QIDQ1840921

P. Baguis

Publication date: 17 October 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012076

zbMATH Keywords

symplectic geometryPoisson-Lie groupsymplectic inductiondressing orbitsHamilton-Poisson actionsPoisson induction

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10)

Cites Work

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• Pukanszky's condition and symplectic induction
• Reduction of Poisson manifolds
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Hamiltonian operators and algebraic structures related to them
• The Schouten bracket and Hamiltonian operators
• Dressing symmetries
• Reduction of symplectic manifolds with symmetry
• Semidirect products and the Pukanszky condition
• Lectures on the geometry of Poisson manifolds
• Hamiltonian group actions and dynamical systems of calogero type
• A simple model of the integrable Hamiltonian equation
• Dressing transformations and Poisson group actions