Acta Mathematica Sinica

, Volume 18, Issue 2, pp 301–310

Poisson Morphisms and Reduced Affine Poisson Group Actions



We establish the concept of a quotient affine Poisson group, and study the reduced Poisson action of the quotient of an affine Poisson group G on the quotient of an affine Poisson-G-variety V. The Poisson morphisms (including equivariant cases) between Poisson affine varieties are also discussed.


Poisson affine varieties Affine Poisson groups Poisson morphisms 

MR (2000) Subject Classification

58H05 17B66 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  1. 1.Institue of MathematicsAcademy of Mathematics and System Sciences, Chinese Academy of SciencesBeijingP. R. China

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