{
  "id": "2409.06006",
  "version": "v1",
  "published": "2024-09-09T19:02:32.000Z",
  "updated": "2024-09-09T19:02:32.000Z",
  "title": "Inequalities characterizing distinguished unipotent orbits",
  "authors": [
    "Alexander Bertoloni Meli",
    "Teruhisa Koshikawa",
    "Jonathan Leake"
  ],
  "comment": "23 pages, comments welcome!",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "In this paper we prove a new characterization of the distinguished unipotent orbits of a connected reductive group over an algebraically closed field of characteristic 0. For classical groups we prove the characterization by a combinatorial computation, and for exceptional groups we check it with a computer. This characterization is needed in the theory of cuspidal sheaves on the stack of L-parameters in forthcoming work of the first two named authors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-09T19:02:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E10",
      "20G20",
      "17B22"
    ],
    "keywords": [
      "inequalities characterizing distinguished unipotent orbits",
      "characterization",
      "combinatorial computation",
      "exceptional groups",
      "cuspidal sheaves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}