{
  "id": "2304.02093",
  "version": "v1",
  "published": "2023-04-04T19:41:56.000Z",
  "updated": "2023-04-04T19:41:56.000Z",
  "title": "On affine Deligne-Lusztig varieties for Sp_4(L)",
  "authors": [
    "Zhongwei Yang"
  ],
  "comment": "30 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we study the emptiness/nonemptiness and the dimension formulas of affine Deligne-Lusztig varieties for $Sp_4(L)$. We mainly calculate the degree of class polynomials for the Iwahori-Hecke algebra of type $\\widetilde{C}_2$. Then, give an explicit description on the emptiness/nonemptiness and dimension formulas of affine Deligne-Lusztig varieties for the group $Sp_4(L)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-04T19:41:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20Gxx"
    ],
    "keywords": [
      "affine deligne-lusztig varieties",
      "dimension formulas",
      "emptiness/nonemptiness",
      "explicit description",
      "class polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}