{
  "id": "1805.06581",
  "version": "v1",
  "published": "2018-05-17T02:24:26.000Z",
  "updated": "2018-05-17T02:24:26.000Z",
  "title": "Classification of Coxeter groups with finitely many elements of $\\mathbf{a}$-value 2",
  "authors": [
    "R. M. Green",
    "Tianyuan Xu"
  ],
  "comment": "34 pages; comments welcome",
  "categories": [
    "math.CO",
    "math.QA",
    "math.RT"
  ],
  "abstract": "We consider Lusztig's $\\mathbf{a}$-function on Coxeter groups (in the equal parameter case) and classify all Coxeter groups with finitely many elements of $\\mathbf{a}$-value 2 in terms of Coxeter diagrams.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-17T02:24:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55"
    ],
    "keywords": [
      "coxeter groups",
      "classification",
      "equal parameter case",
      "coxeter diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}