{
  "id": "1008.2401",
  "version": "v1",
  "published": "2010-08-13T23:00:28.000Z",
  "updated": "2010-08-13T23:00:28.000Z",
  "title": "A Combinatorial Formula for Orthogonal Idempotents in the $0$-Hecke Algebra of the Symmetric Group",
  "authors": [
    "Tom Denton"
  ],
  "comment": "25 pages, 2 figures",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the $0$-Hecke algebra of the symmetric group, $\\mathbb{C}H_0(S_N)$. This construction is compatible with the branching from $S_{N-1}$ to $S_{N}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-13T23:00:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthogonal idempotents",
      "hecke algebra",
      "combinatorial formula",
      "symmetric group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2401D"
    }
  }
}