{
  "id": "1801.00200",
  "version": "v1",
  "published": "2017-12-30T22:01:38.000Z",
  "updated": "2017-12-30T22:01:38.000Z",
  "title": "Decomposition matrices for the generic Hecke algebras on 3 strands in characteristic 0",
  "authors": [
    "Eirini Chavli"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify all the decomposition matrices of the generic Hecke algebras on 3 strands in characteristic 0. These are the generic Hecke algebras associated to the exceptional complex reflection groups $G_4$, $G_8$ and $G_{16}$. We prove that for every choice of the parameters that define these algebras, all ordinary representations are obtained as modular reductions of irreducible representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-30T22:01:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20C08"
    ],
    "keywords": [
      "generic hecke algebras",
      "decomposition matrices",
      "characteristic",
      "exceptional complex reflection groups",
      "modular reductions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}