{
  "id": "1009.2440",
  "version": "v2",
  "published": "2010-09-13T16:17:53.000Z",
  "updated": "2010-11-02T23:16:20.000Z",
  "title": "Normal forms of matrices over the ring of formal series",
  "authors": [
    "Genrich Belitskii",
    "Dmitry Kerner"
  ],
  "comment": "20 pages, the appendix added. the submitted version",
  "categories": [
    "math.RT"
  ],
  "abstract": "Matrices over the ring of formal power series are considered. Normal forms with respect to various sub-groups of the two-sided transformations are constructed. The construction is based on the special property of the action: it induces a filtration by projectors on sub-spaces of polynomial maps.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-02T23:16:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normal forms",
      "formal series",
      "formal power series",
      "special property",
      "polynomial maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2440B"
    }
  }
}