{
  "id": "2005.06996",
  "version": "v1",
  "published": "2020-05-14T14:16:11.000Z",
  "updated": "2020-05-14T14:16:11.000Z",
  "title": "Embeddings of maximal tori in classical groups and Hasse principles",
  "authors": [
    "Eva Bayer-Fluckiger"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The aim of this note is to revisit the question of local-global principles for embeddings of etale algebras with involution into central simple algebras with involution over global fields of characteristic not 2. A necessary and sufficient condition is given in a joint paper with Tingyu Lee and Raman Parimala. In the present paper, we give a simpler description of the obstruction group. It is also shown that if the etale algebra is a product of pairwise independent field extensions, then the Hasse principle holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-14T14:16:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal tori",
      "classical groups",
      "embeddings",
      "etale algebra",
      "hasse principle holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}