Acta Mathematica Sinica

, Volume 18, Issue 2, pp 301–310

Poisson Morphisms and Reduced Affine Poisson Group Actions

ORIGINAL ARTICLES

DOI: 10.1007/s101140200158

Cite this article as:
Yang, Q.L. Acta Math Sinica (2002) 18: 301. doi:10.1007/s101140200158
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Abstract

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.

Keywords

Poisson affine varietiesAffine Poisson groupsPoisson morphisms

MR (2000) Subject Classification

58H0517B66

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