{
  "id": "1811.05236",
  "version": "v1",
  "published": "2018-11-13T12:00:11.000Z",
  "updated": "2018-11-13T12:00:11.000Z",
  "title": "Applications of Littlewood-Richardson tableaux to computing generic extension of semisimple invariant subspaces of nilpotent linear operators",
  "authors": [
    "Mariusz Kaniecki",
    "Justyna Kosakowska"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "The main aim of the paper is to present a~combinatorial algorithm that, applying Littlewood-Richardson tableaux with entries equal to $1$, computes generic extensions of semisimple invariant subspaces of nilpotent linear operators. Moreover, we discuss geometric properties of generic extensions and their connections with combinatorics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-13T12:00:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "47A15",
      "05A17",
      "16Z05"
    ],
    "keywords": [
      "nilpotent linear operators",
      "semisimple invariant subspaces",
      "computing generic extension",
      "applications",
      "main aim"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}