{
  "id": "math/0607478",
  "version": "v2",
  "published": "2006-07-19T21:19:36.000Z",
  "updated": "2008-01-27T17:37:42.000Z",
  "title": "An exotic Springer correspondence for symplectic groups",
  "authors": [
    "Syu Kato"
  ],
  "comment": "v2; 16pp. title changed, Nov/07 version except for one reference, may be merged into next revision of math.RT/0601155",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "This paper is a sequel to math.RT/0601155. Let G be a complex symplectic group. In math.RT/0601155, we constructed a certain G-variety N = N_1, which we call the (1-) exotic nilpotent cone. In this paper, we study the set of G-orbits of the variety N. It turns out that the variety N gives a variant of the Springer correspondence for the Weyl group of type C, but shares a similar flavor with that of type A case. (I.e. there appears no non-trivial local system and the correspondence is bijective.) As an application, we present one sufficient condition for the bijectivity of our exotic Deligne-Langlands correspondence [K1].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-27T17:37:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exotic springer correspondence",
      "complex symplectic group",
      "exotic deligne-langlands correspondence",
      "non-trivial local system",
      "exotic nilpotent cone"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7478K"
    }
  }
}