{
  "id": "2407.15052",
  "version": "v1",
  "published": "2024-07-21T04:42:19.000Z",
  "updated": "2024-07-21T04:42:19.000Z",
  "title": "The ring of differential operators on a quantized flag manifold",
  "authors": [
    "Toshiyuki Tanisaki"
  ],
  "comment": "21pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We establish some properties of the ring of differential operators on the quantized flag manifold. Especially, we give an explicit description of its localization on an affine open subset in terms of the quantum Weyl algebra ($q$-analogue of boson).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-21T04:42:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G42",
      "17B37"
    ],
    "keywords": [
      "quantized flag manifold",
      "differential operators",
      "affine open subset",
      "quantum weyl algebra",
      "explicit description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}