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arxiv: 0810.5000 · v2 · submitted 2008-10-28 · 🧮 math.RT

Cyclotomic double affine Hecke algebras and affine parabolic category O, I

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keywords affinecategorycyclotomicdoublefunctorheckeparabolicalgebra
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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. We give several results concerning this functor.

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