A note on equivariant normal forms of Poisson structures

DOI10.4310/MRL.2006.v13.n6.a14zbMath1112.53062arXivmath/0510523OpenAlexW2041999739MaRDI QIDQ862076

Nguyen Tien Zung, Eva Miranda

Publication date: 5 February 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510523

zbMATH Keywords

linearizationLie groupnormal formPoisson manifoldPoisson action

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (14)

On the splitting of infinitesimal Poisson automorphisms around symplectic leaves ⋮ Coupling symmetries with Poisson structures ⋮ Weakly Hamiltonian actions ⋮ Taylor series and twisting-index invariants of coupled spin-oscillators ⋮ Integrable systems and group actions ⋮ Global properties of integrable Hamiltonian systems ⋮ Rigidity of Hamiltonian actions on Poisson manifolds ⋮ Poisson geometry from a Dirac perspective ⋮ The normal form theorem around Poisson transversals ⋮ Splitting theorems for Poisson and related structures ⋮ The height invariant of a four-parameter semitoric system with two focus-focus singularities ⋮ Symplectic classification of coupled angular momenta ⋮ On covariant distributions in reductive Lie algebras ⋮ Leaf-normal form classification for \(n\)-Tuple Hopf singularities

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