Categorifications and cyclotomic rational double affine Hecke algebras

• 成果类型: Article
• 署名作者: Rouquier, Raphael; Shan, Peng; Varagnolo, Michela; Vasserot, Eric
• 署名单位: University of California System; University of California Los Angeles; Universite Paris Saclay; CY Cergy Paris Universite; Universite Paris Cite
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0623-7
• 发表日期: 2016
• 页码: 671-786
• 关键词: category-o; highest weight; Duality

摘要

Varagnolo and Vasserot conjectured an equivalence between the category 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 of CRDAHA's.