{
  "id": "1201.4669",
  "version": "v3",
  "published": "2012-01-23T10:39:49.000Z",
  "updated": "2013-12-23T23:05:53.000Z",
  "title": "On maximal chains in the non-crossing partition lattice",
  "authors": [
    "Ron M. Adin",
    "Yuval Roichman"
  ],
  "comment": "27 pages, 2 figures. Extensive changes, including addition of a section on alternating non-crossing trees and a section with open problems",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "A weak order on the set of maximal chains of the non-crossing partition lattice is introduced and studied. A $0$-Hecke algebra action is used to compute the radius of the graph on these chains in which two chains are adjacent if they differ in exactly one element.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-12-23T23:05:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-crossing partition lattice",
      "maximal chains",
      "hecke algebra action",
      "weak order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.4669A"
    }
  }
}