{
  "id": "1108.1429",
  "version": "v3",
  "published": "2011-08-06T00:20:32.000Z",
  "updated": "2011-11-16T07:46:38.000Z",
  "title": "Reflection arrangements and ribbon representations",
  "authors": [
    "Alexander Miller"
  ],
  "comment": "Version 3. 34 pages. Added section on additional properties of ribbon representations. Minor edits made to the introduction",
  "categories": [
    "math.CO",
    "math.GR",
    "math.GT",
    "math.RT"
  ],
  "abstract": "Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-16T07:46:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reflection arrangements",
      "ribbon representations",
      "real reflection groups",
      "complex reflection groups",
      "order complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.1429M"
    }
  }
}