{
  "id": "1703.08641",
  "version": "v1",
  "published": "2017-03-25T02:53:11.000Z",
  "updated": "2017-03-25T02:53:11.000Z",
  "title": "Enhanced adjoint action and their orbits for the general linear group",
  "authors": [
    "Kyo Nishiyama",
    "Takuya Ohta"
  ],
  "comment": "13 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We studied an enhanced adjoint action of the general linear group on a product of its Lie algebra and a vector space consisting of several copies of defining representations and its duals. We determined regular semisimple orbits (i.e., closed orbits of maximal dimension) and the structure of enhanced null cone, including its irreducible components and their dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-25T02:53:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "15A72",
      "14D25"
    ],
    "keywords": [
      "general linear group",
      "enhanced adjoint action",
      "determined regular semisimple orbits",
      "vector space",
      "maximal dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}