Quantum duality principle for quantum Grassmannians

  • Rita Fioresi
  • Fabio Gavarini


The quantum duality principle (QDP) for homogeneous spaces gives four recipes to obtain, from a quantum homogeneous space, a dual one, in the sense of Poisson duality. One of these recipes fails (for lack of the initial ingredient) when the homogeneous space we start from is not a quasi-affine variety. In this work we solve this problem for the quantum Grassmannian, a key example of quantum projective homogeneous space, providing a suitable analogue of the QDP recipe.


Hopf Algebra Homogeneous Space Quantum Group Quantum Deformation Grassmann Variety 
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Copyright information

© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH 2011

Authors and Affiliations

  • Rita Fioresi
    • 1
  • Fabio Gavarini
    • 2
  1. 1.Dipartimento di MatematicaUniversitá di BolognaBolognaItaly
  2. 2.Dipartimento di MatematicaUniversitá di Roma “Tor Vergata”RomaItaly

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