{
  "id": "0902.4266",
  "version": "v4",
  "published": "2009-02-25T00:11:31.000Z",
  "updated": "2011-06-06T02:19:59.000Z",
  "title": "Relations between O(n)-invariants of several matrices",
  "authors": [
    "A. A. Lopatin"
  ],
  "comment": "27 pages; v4. minor typos are corrected",
  "categories": [
    "math.RT",
    "math.AG",
    "math.RA"
  ],
  "abstract": "A linear group G<GL(n) acts on d-tuples of n x n matrices by simultaneous conjugation. In [Adv. Math. 19 (1976), 306-381] Procesi established generators and relations between them for G-invariants, where G is GL(n), O(n), and Sp(n) and the characteristic of base field is zero. We continue generalization of the mentioned results to the case of positive characteristic originated by Donkin in [Invent. Math. 110 (1992), 389-401]. We investigate relations between generators for O(n)-invariants.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-06-06T02:19:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16R30",
      "13A50"
    ],
    "keywords": [
      "linear group",
      "procesi established generators",
      "characteristic",
      "base field",
      "continue generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.4266L"
    }
  }
}