{
  "id": "math/0012111",
  "version": "v1",
  "published": "2000-12-14T12:07:15.000Z",
  "updated": "2000-12-14T12:07:15.000Z",
  "title": "Descent Numbers and Major Indices for the Hyperoctahedral Group",
  "authors": [
    "Ron M. Adin",
    "Francesco Brenti",
    "Yuval Roichman"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce and study three new statistics on the hyperoctahedral group $B_{n}$, and show that they give two generalizations of Carlitz's identity for the descent number and major index over $S_{n}$. This answers a question posed by Foata.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-14T12:07:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperoctahedral group",
      "descent number",
      "major indices",
      "carlitzs identity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....12111A"
    }
  }
}