{
  "id": "1801.03761",
  "version": "v1",
  "published": "2018-01-11T13:58:38.000Z",
  "updated": "2018-01-11T13:58:38.000Z",
  "title": "On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras",
  "authors": [
    "Toshiro Kuwabara",
    "Hyohe Miyachi",
    "Kentaro Wada"
  ],
  "comment": "40 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we shall establish the Mackey formulas in the following three set ups: (i) on the tensor induction and restriction functors on the modules over cyclo- tomic Hecke algebras (Ariki-Koike algebras) and their standard subalgebras of parabolic subgroups. (ii) on the Bezrukavnikov-Etingof induction and restriction functors among categories O of rational Cherednik algebras for the complex reflection group of type G(r, 1, n) and their parabolic subgroups. (iii) on the Bezrukavnikov-Etingof induction and restriction functors among categories O of rational Cherednik algebras for the finite Weyl group and their parabolic subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-11T13:58:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "16G99"
    ],
    "keywords": [
      "rational cherednik algebras",
      "cyclotomic hecke algebras",
      "mackey formulas",
      "parabolic subgroups",
      "restriction functors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}