{
  "id": "1103.4807",
  "version": "v2",
  "published": "2011-03-24T16:51:28.000Z",
  "updated": "2012-04-19T07:45:59.000Z",
  "title": "Signed mahonians on some trees and parabolic quotients",
  "authors": [
    "Fabrizio Caselli"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the distribution of the major index with sign on some parabolic quotients of the symmetric group, extending and generalizing simultaneously results Gessel-Simion and Adin-Gessel-Roichman, and on some special trees that we call rakes. We further consider and compute the distribution of the flag-major index on some parabolic quotients of wreath products and other related groups. All these distributions turn out to have very simple factorization formulas.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-19T07:45:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parabolic quotients",
      "signed mahonians",
      "simple factorization formulas",
      "symmetric group",
      "distributions turn"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4807C"
    }
  }
}