{
  "id": "math/0305239",
  "version": "v1",
  "published": "2003-05-16T13:34:41.000Z",
  "updated": "2003-05-16T13:34:41.000Z",
  "title": "A generic algebra associated to certain Hecke algebras",
  "authors": [
    "Stephen Doty",
    "Karin Erdmann",
    "Anne Henke"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We initiate the systematic study of endomorphism algebras of permutation modules and show they are obtainable by a descent from a certain \"generic\" Hecke algebra, infinite-dimensional in general, coming from the universal enveloping algebra of gl_n (or sl_n). The endomorphism algebras and the generic algebras are cellular. We give several equivalent descriptions of these algebras, find a number of explicit bases, and describe indexing sets for their irreducible representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-16T13:34:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke algebra",
      "generic algebra",
      "endomorphism algebras",
      "systematic study",
      "permutation modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5239D"
    }
  }
}