{
  "id": "1509.05991",
  "version": "v1",
  "published": "2015-09-20T10:16:26.000Z",
  "updated": "2015-09-20T10:16:26.000Z",
  "title": "A decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2",
  "authors": [
    "Xun Xie"
  ],
  "comment": "28 pages, 2 figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we prove a decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2 with positive weight function. Then we discuss some applications of this kind of decomposition to Lusztig's conjectures P1-P15.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-20T10:16:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "affine hecke algebras",
      "decomposition formula",
      "kazhdan-lusztig basis",
      "lusztigs conjectures p1-p15",
      "positive weight function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150905991X"
    }
  }
}