{
  "id": "0706.2711",
  "version": "v1",
  "published": "2007-06-19T04:55:40.000Z",
  "updated": "2007-06-19T04:55:40.000Z",
  "title": "On the Descent Algebra of Type $D$",
  "authors": [
    "N. Bergeron",
    "S. J. van Willigenburg"
  ],
  "comment": "7 pages",
  "journal": "J. of Algebra 206:699-705 (1998)",
  "categories": [
    "math.CO"
  ],
  "abstract": "Here we give a combinatorial interpretation of Solomon's rule for multiplication in the descent algebra of Weyl groups of type $D$, $\\Sigma D_n$. From here we show that $\\Sigma D_n$ is a homomorphic image of the descent algebra of the hyperoctahedral group, $\\Sigma B_{n-2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-19T04:55:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F32"
    ],
    "keywords": [
      "descent algebra",
      "hyperoctahedral group",
      "combinatorial interpretation",
      "homomorphic image"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.2711B"
    }
  }
}