{
  "id": "2301.07090",
  "version": "v1",
  "published": "2023-01-17T18:55:16.000Z",
  "updated": "2023-01-17T18:55:16.000Z",
  "title": "Kostant's problem for parabolic Verma modules",
  "authors": [
    "Volodymyr Mazorchuk",
    "Shraddha Srivastava"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a complete combinatorial classification of those parabolic Verma modules in the principal block of the parabolic category $\\mathcal{O}$ associated to a minimal or a maximal parabolic subalgebra of the special linear Lie algebra for which the answer to Kostant's problem is positive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-17T18:55:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parabolic verma modules",
      "kostants problem",
      "special linear lie algebra",
      "complete combinatorial classification",
      "maximal parabolic subalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}