{
  "id": "2009.03579",
  "version": "v1",
  "published": "2020-09-08T08:35:47.000Z",
  "updated": "2020-09-08T08:35:47.000Z",
  "title": "A categorical action of the shifted $q=0$ affine algebra",
  "authors": [
    "You-Hung Hsu"
  ],
  "comment": "55 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We introduce the shifted $q=0$ affine algebra. It is similar to the shifted quantum affine algebra defined by Finkelberg-Tsymbaliuk arXiv:1708.01795v6. We give a definition of its categorical action. Then we prove that there is a categorical action of the shifted $q=0$ affine algebra on the bounded derived categories of coherent sheaves on partial flag varieties. As an application, we use it to construct a categorical action of the $q=0$ affine Hecke algebra on the bounded derived category of coherent sheaves on the full flag variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-08T08:35:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "18N25",
      "20G42",
      "18G80",
      "20C08"
    ],
    "keywords": [
      "categorical action",
      "bounded derived category",
      "coherent sheaves",
      "shifted quantum affine algebra",
      "full flag variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}