{
  "id": "1110.4981",
  "version": "v4",
  "published": "2011-10-22T16:27:32.000Z",
  "updated": "2014-05-23T16:39:25.000Z",
  "title": "The Euler characteristic of a Hecke algebra",
  "authors": [
    "T. Terragni",
    "Th. Weigel"
  ],
  "comment": "11 pages; J. Pure Appl. Algebra (2014)",
  "doi": "10.1016/j.jpaa.2014.05.029",
  "categories": [
    "math.RT"
  ],
  "abstract": "It is shown that the Euler characteristic $\\chi_{(\\mathcal{H},\\mathcal{B},\\epsilon_q)}$ of a $\\mathbb{Z}[[q]]$-Hecke algebra $\\mathcal{H}$ associated with a finitely generated Coxeter group $(W,S)$ coincides with $p_{(W,S)}(q)^{-1}$, where $p_{(W,S)}(t)$ is the Poincar\\'e series of $(W,S)$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-05-23T16:39:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "16S80",
      "20F55"
    ],
    "keywords": [
      "hecke algebra",
      "euler characteristic",
      "finitely generated coxeter group",
      "poincare series"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4981T"
    }
  }
}