{
  "id": "1506.00476",
  "version": "v1",
  "published": "2015-06-01T12:45:18.000Z",
  "updated": "2015-06-01T12:45:18.000Z",
  "title": "The based ring of the lowest two-sided cell of an affine Weyl group, III",
  "authors": [
    "Nanhua Xi"
  ],
  "comment": "9 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that Lusztig's homomorphism from an affine Hecke algebra to the direct summand of its asymptotic Hecke algebra corresponding to the lowest two-sided cell is related to the homomorphism constructed by Chriss and Ginzburg using equivariant K-theory by a matrix over the representation ring of the associated algebraic group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-01T12:45:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "lowest two-sided cell",
      "affine weyl group",
      "affine hecke algebra",
      "associated algebraic group",
      "lusztigs homomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150600476X"
    }
  }
}