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 these construction, we extend the quantum duality principle to quantum projective homogeneous spaces.
Quantization of projective homogeneous spaces and duality principle / Fioresi R.; Ciccoli N.; Gavarini F.. - In: JOURNAL OF NONCOMMUTATIVE GEOMETRY. - ISSN 1661-6952. - STAMPA. - 4:(2008), pp. 449-496. [10.4171/JNCG/26]
Quantization of projective homogeneous spaces and duality principle
FIORESI, RITA;
2008
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 these construction, we extend the quantum duality principle to quantum projective homogeneous spaces.File in questo prodotto:
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