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arxiv: 0801.4033 · v3 · pith:OTMUPZ5Anew · submitted 2008-01-26 · 🧮 math.QA · math.RA

Quantization of Projective Homogeneous Spaces and Duality Principle

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keywords quantumhomogeneousprojectivespacesdualityprincipleconstructconstruction
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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.

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