{
  "id": "2410.20246",
  "version": "v1",
  "published": "2024-10-26T18:28:26.000Z",
  "updated": "2024-10-26T18:28:26.000Z",
  "title": "Faithfulness of highest-weight modules for Iwasawa algebras in type D",
  "authors": [
    "Stephen Mann"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We prove that infinite-dimensional highest-weight modules are faithful for Iwasawa algebras corresponding to a simple Lie algebra of type D. We use this to prove that all non-zero two-sided ideals of the Iwasawa algebra have finite codimension in this case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-26T18:28:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "faithfulness",
      "infinite-dimensional highest-weight modules",
      "simple lie algebra",
      "non-zero two-sided ideals",
      "finite codimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}