{
  "id": "2103.03715",
  "version": "v1",
  "published": "2021-03-05T14:45:08.000Z",
  "updated": "2021-03-05T14:45:08.000Z",
  "title": "Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups",
  "authors": [
    "Dennis Jahn",
    "Christian Stump"
  ],
  "comment": "26 pages, multiple sketches and examples",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the interplay between the discrete geometry of Bruhat poset intervals and subword complexes of finite Coxeter systems. We establish connections between the cones generated by cover labels for Bruhat intervals and of root configurations for subword complexes, culminating in the notion of brick polyhedra for general subword complexes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-05T14:45:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "52B11",
      "06A07"
    ],
    "keywords": [
      "finite coxeter groups",
      "bruhat intervals",
      "brick polyhedra",
      "finite coxeter systems",
      "bruhat poset intervals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}