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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© 2011 Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH
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Fioresi, R., Gavarini, F. (2011). Quantum duality principle for quantum Grassmannians. In: Marcolli, M., Parashar, D. (eds) Quantum Groups and Noncommutative Spaces. Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9831-9_4
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DOI: https://doi.org/10.1007/978-3-8348-9831-9_4
Publisher Name: Vieweg+Teubner
Print ISBN: 978-3-8348-1442-5
Online ISBN: 978-3-8348-9831-9
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