{
  "id": "2308.08711",
  "version": "v1",
  "published": "2023-08-17T00:30:14.000Z",
  "updated": "2023-08-17T00:30:14.000Z",
  "title": "Categories of $D$-modules on a quantized flag manifold",
  "authors": [
    "Toshiyuki Tanisaki"
  ],
  "comment": "38pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "There are two approaches in defining the category of $D$-modules on a quantized flag manifold. One is due to Lunts and Rosenberg based on the $\\mathrm{Proj}$- construction of the quantized flag manifold, and the other is due to Backelin and Kremnizer using equivariant $D$-modules on the corresponding quantized algebraic group. In this paper we compare the two approaches.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-17T00:30:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G42",
      "17B37"
    ],
    "keywords": [
      "quantized flag manifold",
      "corresponding quantized algebraic group",
      "approaches",
      "equivariant",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}