We introduce a general recipe to construct quantum projective homogeneous spaces, with a particular interest for the examples of the quantum Grassmannians and the quantum generalized flag varieties. Using this construction, we extend the quantum duality principle to quantum projective homogeneous spaces.
Cite this article
Nicola Ciccoli, Rita Fioresi, Fabio Gavarini, Quantization of projective homogeneous spaces and duality principle. J. Noncommut. Geom. 2 (2008), no. 4, pp. 449–496DOI 10.4171/JNCG/26