{
  "id": "math/0504417",
  "version": "v1",
  "published": "2005-04-20T18:04:05.000Z",
  "updated": "2005-04-20T18:04:05.000Z",
  "title": "On Bernstein's presentation of Iwahori-Hecke algebras and representations of split reductive groups over non-Archimedean local fields",
  "authors": [
    "Amritanshu Prasad"
  ],
  "comment": "Presented at the International Conference on Harmonic Analysis and Quantum Groups in Kochi, Jan 3-8, 2005",
  "journal": "Bulletin of Kerala Mathematics Association (special issue on harmonic analysis and quantum groups), December 2005",
  "categories": [
    "math.RT"
  ],
  "abstract": "This article gives conceptual statements and proofs relating parabolic induction and Jacquet functors on split reductive groups over a non-Archimedean local field to the associated Iwahori-Hecke algebra as tensoring from and restricting to parabolic subalgebras. The main tool is Bernstein's presentation of the Iwahori-Hecke algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-20T18:04:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50"
    ],
    "keywords": [
      "non-archimedean local field",
      "split reductive groups",
      "iwahori-hecke algebra",
      "bernsteins presentation",
      "representations"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4417P"
    }
  }
}