JournalsjncgVol. 2, No. 4pp. 449–496

Quantization of projective homogeneous spaces and duality principle

  • Nicola Ciccoli

    Università di Perugia
  • Rita Fioresi

    Università di Bologna
  • Fabio Gavarini

    Università di Roma “Tor Vergata”
Quantization of projective homogeneous spaces and duality principle cover
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Abstract

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. 449–496

DOI 10.4171/JNCG/26