{
  "id": "2009.13486",
  "version": "v1",
  "published": "2020-09-28T17:21:28.000Z",
  "updated": "2020-09-28T17:21:28.000Z",
  "title": "Boundary and Eisenstein Cohomology of $G_2(\\mathbb{Z})$",
  "authors": [
    "Jitendra Bajpai",
    "Lifan Guan"
  ],
  "comment": "38 Pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this article, Eisenstein cohomology of the arithmetic group $G_2(\\mathbb{Z})$ with coefficients in any finite dimensional highest weight irreducible representation has been determined. We accomplish this by studying the cohomology of the boundary of the Borel-Serre compactification.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-28T17:21:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F75",
      "11F70",
      "11F22",
      "11F06"
    ],
    "keywords": [
      "eisenstein cohomology",
      "dimensional highest weight irreducible representation",
      "finite dimensional highest weight irreducible",
      "arithmetic group",
      "borel-serre compactification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}