{
  "id": "1101.0053",
  "version": "v2",
  "published": "2010-12-30T08:02:22.000Z",
  "updated": "2011-01-07T09:57:58.000Z",
  "title": "On stability of diagonal actions and tensor invariants",
  "authors": [
    "Artem Anisimov"
  ],
  "comment": "12 pages. This version has its references replaced with correct ones which have been kindly suggested by V. L. Popov",
  "categories": [
    "math.RT",
    "math.AG",
    "math.CO"
  ],
  "abstract": "For a connected simply connected semisimple algebraic group $G$ we prove existence of invariant tensors in tensor powers of rational $G$-modules and establish relations between existence of such invariant tensors and stability of diagonal actions of $G$ on affine algebraic varieties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-07T09:57:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A50",
      "14L24",
      "14R20",
      "22E46"
    ],
    "keywords": [
      "diagonal actions",
      "tensor invariants",
      "invariant tensors",
      "simply connected semisimple algebraic group",
      "affine algebraic varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.0053A"
    }
  }
}