Quantum Duality Principle for Quantum Grassmannians

Details Quantum Duality Principle for Quantum Grassmannians Quantum Duality Principle for Quantum Grassmannians

2005-10-05

arxiv.org/abs/math/0510109v3

Mathematics

Quantum Algebra

La-TeX file, 20 pages. Final version after the referee's corrections/remarks. To appear in: Proceedings of the Workshop "Quant

Scientific paper

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.

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