Cyclotomic double affine Hecke algebras and affine parabolic category O

@article{Varagnolo2008CyclotomicDA,
  title={Cyclotomic double affine Hecke algebras and affine parabolic category O},
  author={Michela Varagnolo and Eric Vasserot},
  journal={Advances in Mathematics},
  year={2008},
  volume={225},
  pages={1523-1588}
}
Using the orbifold KZ connection we construct a functor from an affine parabolic category O of type A to the category O of a cyclotomic rational double affine Hecke algebra H. Then we give several results concerning this functor. 
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