Quantization of Projective Homogeneous Spaces and Duality Principle

Details Quantization of Projective Homogeneous Spaces and Duality Principle Quantization of Projective Homogeneous Spaces and Duality Principle

2008-01-26

arxiv.org/abs/0801.4033v3

Journal of Noncommutative Geometry 2 (2008), 449-496

Mathematics

Quantum Algebra

Final version (after correcting the journal's proofs), to appear in "Journal of Noncommutative Geometry"

Scientific paper

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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