{
  "id": "2506.19625",
  "version": "v1",
  "published": "2025-06-24T13:46:16.000Z",
  "updated": "2025-06-24T13:46:16.000Z",
  "title": "Generalized Verma modules over sl(m+1) induced from simple highest weight modules",
  "authors": [
    "Yaohui Xue",
    "Yan Wang"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "A class of generalized Verma modules over sl(m+1) are constructed from simple highest weight gl(m)-modules. Furthermore, the simplicity criterion for these sl(m+1)-modules are determined and an equivalence between generalized Verma modules and tensor modules are established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-06-24T13:46:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B20"
    ],
    "keywords": [
      "generalized verma modules",
      "simple highest weight modules",
      "simple highest weight gl",
      "simplicity criterion",
      "tensor modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}