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Pré-Publication, Document De Travail Année : 2013

Categorifications and cyclotomic rational double affine Hecke algebras

Résumé

Varagnolo and Vasserot conjectured an equivalence between the category O for CRDAHA's and a subcategory of an affine parabolic category O of type A. We prove this conjecture. As applications, we prove a conjecture of Rouquier on the dimension of simple modules of CRDAHA's and a conjecture of Chuang-Miyachi on the Koszul duality for the category O of CRDAHA's.

Dates et versions

hal-00824622 , version 1 (22-05-2013)

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Raphael Rouquier, Peng Shan, Michela Varagnolo, Eric Vasserot. Categorifications and cyclotomic rational double affine Hecke algebras. 2013. ⟨hal-00824622⟩
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