{
  "id": "1701.00611",
  "version": "v1",
  "published": "2017-01-03T09:33:53.000Z",
  "updated": "2017-01-03T09:33:53.000Z",
  "title": "Eichler-Shimura isomorphism and group cohomology on arithmetic groups",
  "authors": [
    "Santiago Molina Blanco"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The Eichler-Shimura isomorphism realizes the automorphic representation generated by an automorphic newform in certain cohomology of an arithmetic group. In this short note, we give a cohomological interpretation of the Eichler-Shimura isomorphism as a connection morphism of certain exact sequence of G-modules, for the multiplicative group G of any quaternion algebra over a totally real field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-03T09:33:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arithmetic group",
      "group cohomology",
      "eichler-shimura isomorphism realizes",
      "automorphic newform",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}