{
  "id": "1611.08716",
  "version": "v1",
  "published": "2016-11-26T15:48:51.000Z",
  "updated": "2016-11-26T15:48:51.000Z",
  "title": "Topological classification of systems of bilinear and sesquilinear forms",
  "authors": [
    "Carlos M. da Fonseca",
    "Vyacheslav Futorny",
    "Tetiana Rybalkina",
    "Vladimir V. Sergeichuk"
  ],
  "comment": "5 pages",
  "journal": "Linear Algebra Appl. 515 (2017) 1-5",
  "doi": "10.1016/j.laa.2016.11.012",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $\\cal A$ and $\\cal B$ be two systems consisting of the same vector spaces $\\mathbb C^{n_1},\\dots,\\mathbb C^{n_t}$ and bilinear or sesquilinear forms $A_i,B_i:\\mathbb C^{n_{k(i)}}\\times\\mathbb C^{n_{l(i)}}\\to\\mathbb C$, for $i=1,\\dots,s$. We prove that $\\cal A$ is transformed to $\\cal B$ by homeomorphisms within $\\mathbb C^{n_1},\\dots,\\mathbb C^{n_t}$ if and only if $\\cal A$ is transformed to $\\cal B$ by linear bijections within $\\mathbb C^{n_1},\\dots,\\mathbb C^{n_t}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-26T15:48:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A21",
      "37C15"
    ],
    "keywords": [
      "sesquilinear forms",
      "topological classification",
      "linear bijections"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}