{
  "id": "math/9811100",
  "version": "v1",
  "published": "1998-11-17T14:40:42.000Z",
  "updated": "1998-11-17T14:40:42.000Z",
  "title": "Totally nonnegative and oscillatory elements in semisimple groups",
  "authors": [
    "Sergey Fomin",
    "Andrei Zelevinsky"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT",
    "math.AG",
    "math.CO",
    "math.RA"
  ],
  "abstract": "We generalize the well known characterizations of totally nonnegative and oscillatory matrices, due to F.R.Gantmacher, M.G.Krein, A.Whitney, C.Loewner, M.Gasca, and J.M.Pena to the case of an arbitrary complex semisimple Lie group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-11-17T14:40:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "14M15",
      "15A48",
      "20F55"
    ],
    "keywords": [
      "oscillatory elements",
      "semisimple groups",
      "totally nonnegative",
      "arbitrary complex semisimple lie group",
      "oscillatory matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....11100F"
    }
  }
}