{
  "id": "0809.1461",
  "version": "v3",
  "published": "2008-09-08T23:34:27.000Z",
  "updated": "2010-09-15T19:09:15.000Z",
  "title": "The spherical Hecke algebra for affine Kac-Moody groups I",
  "authors": [
    "Alexander Braverman",
    "David Kazhdan"
  ],
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We define the spherical Hecke algebra for an (untwisted) affine Kac-Moody group over a local non-archimedian field. We prove a generalization of the Satake isomorphism for these algebras, relating it to integrable representations of the Langlands dual affine Kac-Moody group. In the next publication we shall use these results to define and study the notion of Hecke eigenfunction for the group $G_{\\aff}$",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-09-15T19:09:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spherical hecke algebra",
      "langlands dual affine kac-moody group",
      "local non-archimedian field",
      "satake isomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1461B"
    }
  }
}