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arXiv · 1305.4456

Categorifications and cyclotomic rational double affine Hecke algebras

Raphael Rouquier·Peng Shan·Michela Varagnolo·Eric Vasserot
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Abstract

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.

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BibTeXRIS

Raphael Rouquier, Peng Shan, Michela Varagnolo, Eric Vasserot. 2013-06-03. Categorifications and cyclotomic rational double affine Hecke algebras. https://arxiv.org/abs/1305.4456

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