{
  "id": "1512.04485",
  "version": "v1",
  "published": "2015-12-14T19:42:49.000Z",
  "updated": "2015-12-14T19:42:49.000Z",
  "title": "Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)",
  "authors": [
    "Maki Nakasuji",
    "Hiroshi Naruse"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We generalize the definition of Yang-Baxter basis of type $A$ Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75--90) to all the Lie types and prove their duality. As an application we give a solution to Casselman's problem on Iwahori fixed vectors of principal series representation of $p$-adic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-14T19:42:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "20C08",
      "22E50",
      "16T25"
    ],
    "keywords": [
      "hecke algebra",
      "casselmans problem",
      "yang-baxter basis",
      "extended abstract",
      "principal series representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151204485N"
    }
  }
}