{
  "id": "0909.3961",
  "version": "v1",
  "published": "2009-09-22T14:22:14.000Z",
  "updated": "2009-09-22T14:22:14.000Z",
  "title": "On some analogues of Carlitz's identity for the hyperoctahedral group",
  "authors": [
    "Riccardo Biagioli",
    "Jiang Zeng"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a new description of the flag major index, introduced by Adin and Roichman, by using a major index defined by Reiner. This allows us to establish a connection between an identity of Reiner and some more recent results due to Chow and Gessel. Furthermore we generalize the main identity of Chow and Gessel by computing the four-variate generating series of descents, major index, length, and number of negative entries over Coxeter groups of type $B$ and $D$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-22T14:22:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15"
    ],
    "keywords": [
      "hyperoctahedral group",
      "carlitzs identity",
      "flag major index",
      "main identity",
      "four-variate generating series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3961B"
    }
  }
}