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Poisson morphisms and reduced affine Poisson group actions

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Publication:1862885
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DOI10.1007/s101140200158zbMath1032.53074OpenAlexW2043003611MaRDI QIDQ1862885

Qi Lin Yang

Publication date: 5 May 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140200158


zbMATH Keywords

Poisson morphismsaffine Poisson groupsPoisson affine varieties


Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Poisson manifolds; Poisson groupoids and algebroids (53D17)


Related Items

Wonderful compactification of character varieties ⋮ Fundamental theorem of Poisson \((A,H)\)-Hopf modules



Cites Work

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  • Poisson Lie groups, dressing transformations, and Bruhat decompositions
  • Invariant theory
  • Lectures on the geometry of Poisson manifolds
  • Algebraic homogeneous spaces and invariant theory
  • Reduced Poisson actions
  • Geometric and algebraic reduction for singular momentum maps
  • On Quotient Varieties and the Affine Embedding of Certain Homogeneous Spaces
  • Hamiltonian group actions and dynamical systems of calogero type
  • Dressing transformations and Poisson group actions
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