{
  "id": "math/0502463",
  "version": "v1",
  "published": "2005-02-22T18:45:38.000Z",
  "updated": "2005-02-22T18:45:38.000Z",
  "title": "Sign balance for finite groups of Lie type",
  "authors": [
    "Yona Cherniavsky",
    "Eli Bagno"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A product formula for the parity generating function of the number of 1's in invertible matrices over Z_2 is given. The computation is based on algebraic tools such as the Bruhat decomposition. The same technique is used to obtain a parity generating function also for symplectic matrices over Z_2. We present also a generating function for the sum of entries of matrices over an arbitrary finite field F_q calculated in F_q. These formulas are new appearances of the Mahonian distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-22T18:45:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite groups",
      "lie type",
      "sign balance",
      "parity generating function",
      "arbitrary finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2463C"
    }
  }
}