English

Quantization of Projective Homogeneous Spaces and Duality Principle

Quantum Algebra 2008-09-04 v3 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.0801.4033,
  title  = {Quantization of Projective Homogeneous Spaces and Duality Principle},
  author = {N. Ciccoli and R. Fioresi and F. Gavarini},
  journal= {arXiv preprint arXiv:0801.4033},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T10:06:40.449Z