{
  "id": "1307.6469",
  "version": "v1",
  "published": "2013-07-24T15:54:20.000Z",
  "updated": "2013-07-24T15:54:20.000Z",
  "title": "Invariants and conjugacy classes of triangular polynomial maps",
  "authors": [
    "Stefan Maubach"
  ],
  "categories": [
    "math.AG",
    "math.AC",
    "math.GR"
  ],
  "abstract": "In this article, we classify invariants and conjugacy classes of triangular polynomial maps. We make these classifications in dimension 2 over domains containing $\\Q$, dimension 2 over fields of characteristic $p$, and dimension 3 over fields of characteristic zero. We discuss the generic characteristic 0 case. We determine the invariants and conjugacy classes of strictly triangular maps of maximal order in all dimensions over fields of characteristic $p$. They turn out to be equivalent to a map of the form $(x_1+f_1,\\ldots,x_n+f_n)$ where $f_i\\in x_n^{p-1}k[x_{i+1}^p,\\ldots,x_n^p]$ if $1\\leq i\\leq n-1$ and $f_n\\in k^*$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-24T15:54:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14R20",
      "13A50",
      "20E45"
    ],
    "keywords": [
      "triangular polynomial maps",
      "conjugacy classes",
      "invariants",
      "strictly triangular maps",
      "maximal order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.6469M"
    }
  }
}