Quantum Duality Principle for Quantum Grassmannians

Rita Fioresi; Fabio Gavarini

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Quantum Duality Principle for Quantum Grassmannians

Rita Fioresi·Fabio Gavarini

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Abstract

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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Rita Fioresi, Fabio Gavarini. 2008-11-10. Quantum Duality Principle for Quantum Grassmannians. https://arxiv.org/abs/math/0510109

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