Covariant Poisson structures on complex Grassmannians

2005/03/11 by N. Ciccoli, Ciccoli, N., A. J. -L. Sheu +1
Mathematics · #53D17 #FOS: Mathematics #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.QA #math.SG #msc:53D17

paper · pdf · doi:10.48550/arxiv.math/0503218

31 pages

arxiv created 2005/03/11 · arxiv updated 2009/12/01

Abstract

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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