{
  "id": "2306.06873",
  "version": "v1",
  "published": "2023-06-12T05:12:59.000Z",
  "updated": "2023-06-12T05:12:59.000Z",
  "title": "Affine Deligne-Lusztig varieties via the double Bruhat graph II: Iwahori-Hecke algebra",
  "authors": [
    "Felix Schremmer"
  ],
  "comment": "37 pages; comments appreciated",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We introduce a new language to describe the geometry of affine Deligne-Lusztig varieties in affine flag varieties. This second part of a two paper series uses this new language, i.e. the double Bruhat graph, to describe certain structure constants of the Iwahori-Hecke algebra. As an application, we describe nonemptiness and dimension of affine Deligne-Lusztig varieties for most elements of the affine Weyl group and arbitrary $\\sigma$-conjugacy classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-12T05:12:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G25",
      "11G25",
      "20C08"
    ],
    "keywords": [
      "affine deligne-lusztig varieties",
      "double bruhat graph",
      "iwahori-hecke algebra",
      "affine flag varieties",
      "affine weyl group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}