Poisson Structures on Affine Spaces and Flag Varieties . Ii

@inproceedings{Goodearl2005PoissonSO,
  title={Poisson Structures on Affine Spaces and Flag Varieties . Ii},
  author={Kenneth R Goodearl},
  year={2005}
}
The standard Poisson structures on the flag varieties G/P of a complex reductive algebraic group G are investigated. It is shown that the orbits of symplectic leaves in G/P under a fixed maximal torus of G are smooth irreducible locally closed subvarieties of G/P , isomorphic to intersections of dual Schubert cells in the full flag variety G/B of G, and their Zariski closures are explicitly computed. Two different proofs of the former result are presented. The first is in the framework of… CONTINUE READING
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