{
  "id": "1008.1037",
  "version": "v1",
  "published": "2010-08-05T18:48:22.000Z",
  "updated": "2010-08-05T18:48:22.000Z",
  "title": "Deformations of permutation representations of Coxeter groups",
  "authors": [
    "Eric M. Rains",
    "Monica J. Vazirani"
  ],
  "comment": "44 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "The permutation representation afforded by a Coxeter group W acting on the cosets of a standard parabolic subgroup inherits many nice properties from W such as a shellable Bruhat order and a flat deformation over Z[q] to a representation of the corresponding Hecke algebra. In this paper we define a larger class of ``quasiparabolic\" subgroups (more generally, quasiparabolic W-sets), and show that they also inherit these properties. Our motivating example is the action of the symmetric group on fixed-point-free involutions by conjugation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-05T18:48:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coxeter group",
      "permutation representation",
      "standard parabolic subgroup inherits",
      "nice properties",
      "shellable bruhat order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.1037R"
    }
  }
}