{
  "id": "2306.12004",
  "version": "v1",
  "published": "2023-06-21T03:46:54.000Z",
  "updated": "2023-06-21T03:46:54.000Z",
  "title": "Ext-groups in the Category of Strict Polynomial Functors",
  "authors": [
    "Van Tuan Pham"
  ],
  "journal": "International Mathematics Research Notices, Volume 2021, Issue 22",
  "doi": "10.1093/imrn/rnz284",
  "categories": [
    "math.AT"
  ],
  "abstract": "The aim of this paper is to study, by using the mathematical tools developed by Chalupnik, Touze, and Van der Kallen, the effect of the Frobenius twist on Ext-group in the category of strict polynomial functors. As an application, we obtain explicit formulas of cohomology of the orthogonal groups and symplectic ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-21T03:46:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strict polynomial functors",
      "van der kallen",
      "frobenius twist",
      "explicit formulas",
      "orthogonal groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}