{
  "id": "0711.1277",
  "version": "v1",
  "published": "2007-11-08T13:53:22.000Z",
  "updated": "2007-11-08T13:53:22.000Z",
  "title": "Hecke operators and Hilbert modular forms",
  "authors": [
    "Paul E. Gunnells",
    "Dan Yasaki"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let F be a real quadratic field with ring of integers O and with class number 1. Let Gamma be a congruence subgroup of GL_2 (O). We describe a technique to compute the action of the Hecke operators on the cohomology H^3 (Gamma; C). For F real quadratic this cohomology group contains the cuspidal cohomology corresponding to cuspidal Hilbert modular forms of parallel weight 2. Hence this technique gives a way to compute the Hecke action on these Hilbert modular forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-08T13:53:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F41",
      "11F60",
      "11F75"
    ],
    "keywords": [
      "hecke operators",
      "cuspidal hilbert modular forms",
      "real quadratic field",
      "cohomology group contains",
      "hecke action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.1277G"
    }
  }
}