{
  "id": "2003.06292",
  "version": "v1",
  "published": "2020-03-12T10:20:47.000Z",
  "updated": "2020-03-12T10:20:47.000Z",
  "title": "Algorithms in Linear Algebraic Groups",
  "authors": [
    "Sushil Bhunia",
    "Ayan Mahalanobis",
    "Pralhad Shinde",
    "Anupam Singh"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1901.00892, arXiv:1504.03794",
  "categories": [
    "math.GR",
    "cs.DS"
  ],
  "abstract": "This paper presents some algorithms in linear algebraic groups. These algorithms solve the word problem and compute the spinor norm for orthogonal groups. This gives us an algorithmic definition of the spinor norm. We compute the double coset decomposition with respect to a Siegel maximal parabolic subgroup, which is important in computing infinite-dimensional representations for some algebraic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-12T10:20:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E57",
      "15A21",
      "20G05",
      "15A66"
    ],
    "keywords": [
      "linear algebraic groups",
      "algorithms",
      "spinor norm",
      "siegel maximal parabolic subgroup",
      "double coset decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}