Quantum Duality Principle for Quantum Grassmannians
Quantum Algebra
2008-11-10 v3
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.
Cite
@article{arxiv.math/0510109,
title = {Quantum Duality Principle for Quantum Grassmannians},
author = {Rita Fioresi and Fabio Gavarini},
journal= {arXiv preprint arXiv:math/0510109},
year = {2008}
}
Comments
La-TeX file, 20 pages. Final version after the referee's corrections/remarks. To appear in: Proceedings of the Workshop "Quantum Groups and Noncommutative Geometry" (Max Planck Institut fur Mathematik, Bonn, Germany, August 6-8, 2007)