A local normal form for Hamiltonian actions of compact semisimple Poisson-Lie groups

DOI10.2140/involve.2022.15.775OpenAlexW3169192558MaRDI QIDQ2692980

Yanyan Li

Publication date: 17 March 2023

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02957

zbMATH Keywords

Poisson-Lie groupsmoment mapsHamiltonian actionslocal normal forms

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20)

Cites Work

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• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• On Poisson actions of compact Lie groups on symplectic manifolds
• Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\)
• Concentration of symplectic volumes on Poisson homogeneous spaces
• Poisson Structures
• Linearization of Poisson actions and singular values of matrix products

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