{
  "id": "1908.03672",
  "version": "v1",
  "published": "2019-08-10T02:53:03.000Z",
  "updated": "2019-08-10T02:53:03.000Z",
  "title": "Higher signs for Coxeter groups",
  "authors": [
    "Zhiwei Yun"
  ],
  "comment": "13 pages",
  "categories": [
    "math.RT",
    "math.AG",
    "math.GR"
  ],
  "abstract": "We define and study cocycles on a Coxeter group in each degree generalizing the sign function. When the Coxeter group is a Weyl group, we explain how the degree three cocycle arises naturally from geometry representation theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-10T02:53:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "14M15"
    ],
    "keywords": [
      "coxeter group",
      "higher signs",
      "geometry representation theory",
      "study cocycles",
      "weyl group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}