{
  "id": "1611.03265",
  "version": "v1",
  "published": "2016-11-10T11:36:06.000Z",
  "updated": "2016-11-10T11:36:06.000Z",
  "title": "Representations of $0$-Yokonuma-Hecke algebras",
  "authors": [
    "Weideng Cui"
  ],
  "comment": "A note",
  "categories": [
    "math.RT"
  ],
  "abstract": "We give two different approaches to classifying the simple modules of $0$-Yokonuma-Hecke algebras $Y_{r,n}(0)$ over an algebraically closed field of characteristic $p$ such that $p$ does not divide $r.$ Using the isomorphism between the $0$-Yokonuma-Hecke algebra and $0$-Ariki-Koike-Shoji algebra, we in fact give another way to obtain the simple modules of the latter, which was previously studied by Hivert, Novelli and Thibon (Adv. Math. $\\bf{205}$ (2006) 504-548). In the appendix, we give the classification of simple modules of the nil Yokonuma-Hecke algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-10T11:36:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple modules",
      "representations",
      "nil yokonuma-hecke algebra",
      "ariki-koike-shoji algebra",
      "isomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}