Categorifications and cyclotomic rational double affine Hecke algebras. (Q295797)
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scientific article; zbMATH DE number 6592994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Categorifications and cyclotomic rational double affine Hecke algebras. |
scientific article; zbMATH DE number 6592994 |
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Categorifications and cyclotomic rational double affine Hecke algebras. (English)
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13 June 2016
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Varagnolo and Vasserot conjectured an equivalence between the category \(\mathcal O\) for cyclotomic rational double affine Hecke algebras (CRDAHAs) and a subcategory of an affine parabolic category \(\mathcal O\) of type \(A\). In this paper the authors prove this conjecture. As applications, they prove a conjecture of Rouquier on the dimension of simple modules of CRDAHAs and a conjecture of Chuang-Miyachi on the Koszul duality for the category \(\mathcal O\) of CRDAHAs.
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cyclotomic rational double affine Hecke algebras
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affine parabolic category \(\mathcal O\)
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Koszulity
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