Covariant Poisson structures on complex Grassmannians

Mathematics – Symplectic Geometry

Scientific paper

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31 pages

Scientific paper

The purpose of this paper is to study covariant Poisson structures on the
complex Grassmannian obtained as quotients by coisotropic subgroups of the
standard Poisson--Lie SU(n). Properties of Poisson quotients allow to describe
Poisson embeddings generalizing those obtained in math.SG/9802082.

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