{
  "id": "math/0601155",
  "version": "v7",
  "published": "2006-01-08T20:25:09.000Z",
  "updated": "2009-03-03T05:17:21.000Z",
  "title": "An exotic Deligne-Langlands correspondence for symplectic groups",
  "authors": [
    "Syu Kato"
  ],
  "comment": "v7, 52pages. Corrected typos and errors in the proofs of Lemma 4.1 and Theorem 6.2 modulo Proposition 6.7, final version, accepted for publication in Duke Math",
  "journal": "Duke Math. J. 148 no.2 305--371 (2009)",
  "doi": "10.1215/00127094-2009-028",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Let G be a complex symplectic group. We introduce a G x (C ^x) ^{l + 1}-variety N_{l}, which we call the l-exotic nilpotent cone. Then, we realize the Hecke algebra H of type C_n ^(1) with three parameters via equivariant algebraic K-theory in terms of the geometry of N_2. This enables us to establish a Deligne-Langlands type classification of \"non-critical\" simple H-modules. As applications, we present a character formula and multiplicity formulas of H-modules.",
  "revisions": [
    {
      "version": "v7",
      "updated": "2009-03-03T05:17:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exotic deligne-langlands correspondence",
      "l-exotic nilpotent cone",
      "deligne-langlands type classification",
      "equivariant algebraic k-theory",
      "complex symplectic group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1155K"
    }
  }
}