{
  "id": "2103.16906",
  "version": "v1",
  "published": "2021-03-31T08:52:23.000Z",
  "updated": "2021-03-31T08:52:23.000Z",
  "title": "Primitive ideals in the affinoid enveloping algebras of semisimple Lie algebras",
  "authors": [
    "Ioan Stanciu"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "For a semisimple Lie algebra defined over a discrete valuation ring with field of fractions $K$, we prove that any primitive ideal with rational central character in the affinoid enveloping algebra, $\\widehat{U(\\mathfrak{g})_{K}},$ is the annihilator of an affinoid highest weight module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-31T08:52:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semisimple lie algebra",
      "affinoid enveloping algebra",
      "primitive ideal",
      "affinoid highest weight module",
      "rational central character"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}