{
  "id": "2009.11715",
  "version": "v1",
  "published": "2020-09-24T14:17:29.000Z",
  "updated": "2020-09-24T14:17:29.000Z",
  "title": "Cellularity of the p-Canonical Basis for Symmetric Groups",
  "authors": [
    "Lars Thorge Jensen"
  ],
  "comment": "25 pages",
  "categories": [
    "math.RT",
    "math.CO",
    "math.GR"
  ],
  "abstract": "For symmetric groups we show that the p-canonical basis can be extended to a cell datum for the Iwahori-Hecke algebra H and that the two-sided p-cell preorder coincides with the Kazhdan-Lusztig two-sided cell preorder. Moreover, we show that left (or right) p-cells inside the same two-sided p-cell for Hecke algebras of finite crystallographic Coxeter systems are incomparable (Property A).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-24T14:17:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric groups",
      "p-canonical basis",
      "cellularity",
      "finite crystallographic coxeter systems",
      "kazhdan-lusztig two-sided cell preorder"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}