{
  "id": "math/0403066",
  "version": "v2",
  "published": "2004-03-03T11:10:02.000Z",
  "updated": "2005-03-30T16:58:44.000Z",
  "title": "On the Kazhdan-Lusztig basis of a spherical Hecke algebra",
  "authors": [
    "Friedrich Knop"
  ],
  "comment": "v1: 10 pages; v2: 11 pages, minor stylistic changes, the main theorem is a little bit stronger",
  "journal": "Represent. Theory 9 (2005) 417-425",
  "doi": "10.1090/S1088-4165-05-00237-2",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Lusztig proved that the Kazhdan-Lusztig basis of a spherical Hecke algebra can be essentially identified with the Weyl characters of the Langlands dual group. We generalize this result to the unequal parameter case. The new proof is pretty simple and quite different from Lusztig's.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-30T16:58:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "spherical hecke algebra",
      "kazhdan-lusztig basis",
      "langlands dual group",
      "unequal parameter case",
      "weyl characters"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Represent. Theory"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3066K"
    }
  }
}