{
  "id": "2205.06185",
  "version": "v1",
  "published": "2022-05-12T16:10:20.000Z",
  "updated": "2022-05-12T16:10:20.000Z",
  "title": "Extensions of the rational Cherednik algebra and generalized KZ functors",
  "authors": [
    "Henry Fallet"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient category of the category $\\mathcal{O}$ for the rational Cherednik algebra and the category of finite dimension modules of the Hecke algebra of a complex reflection group $W$. We establish two generalizations of this result. On the one hand to the extension of the Hecke algebra associated to the normaliser of a reflection subgroup and on the other hand to the extension of the Hecke algebra by a lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-12T16:10:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "rational cherednik algebra",
      "generalized kz functors",
      "hecke algebra",
      "finite dimension modules",
      "complex reflection group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}