{
  "id": "2112.10853",
  "version": "v2",
  "published": "2021-12-20T20:55:11.000Z",
  "updated": "2022-01-21T19:16:02.000Z",
  "title": "Centers of Hecke Algebras of Complex Reflection Groups",
  "authors": [
    "Eirini Chavli",
    "Götz Pfeiffer"
  ],
  "comment": "Example added; 13 pages",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We provide a variant of the Geck--Rouquier Theorem on the center of an Iwahori--Hecke algebra, which also covers the complex case and, for some examples of complex reflection groups $W$, we compute an explicit basis of the center of the Hecke algebra of~$W$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-21T19:16:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20F55"
    ],
    "keywords": [
      "complex reflection groups",
      "geck-rouquier theorem",
      "explicit basis",
      "iwahori-hecke algebra",
      "complex case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}