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arxiv: math/0503218 · v1 · pith:LJR6WGVBnew · submitted 2005-03-11 · 🧮 math.SG · math.QA

Covariant Poisson structures on complex Grassmannians

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keywords poissoncomplexcovariantobtainedquotientsstructuresallowcoisotropic
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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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