{
  "id": "2210.14839",
  "version": "v1",
  "published": "2022-10-26T16:40:07.000Z",
  "updated": "2022-10-26T16:40:07.000Z",
  "title": "Cyclic descents, matchings and Schur-positivity",
  "authors": [
    "Ron M. Adin",
    "Yuval Roichman"
  ],
  "comment": "20 pages, 2 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "A new descent set statistic on involutions, defined geometrically via their interpretation as matchings, is introduced in this paper, and shown to be equi-distributed with the standard one. This concept is then applied to construct an explicit cyclic descent extensions on involutions, standard Young tableaux and Motzkin paths. Schur-positivity of associated quasi-symmetric functions follows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-26T16:40:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schur-positivity",
      "explicit cyclic descent extensions",
      "descent set statistic",
      "standard young tableaux",
      "involutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}