{
  "id": "math/0505072",
  "version": "v1",
  "published": "2005-05-04T10:49:57.000Z",
  "updated": "2005-05-04T10:49:57.000Z",
  "title": "On polarizations in invariant theory",
  "authors": [
    "Mark Losik",
    "Peter W. Michor",
    "Vladimir L. Popov"
  ],
  "comment": "15 pages",
  "journal": "J. Algebra, vol. 301 (2006), no. 1, 406--424.",
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a reductive algebraic group $G$ and a finite dimensional algebraic $G$-module $V$, we study how close is the algebra of $G$-invariant polynomials on $V^{\\oplus n}$ to the subalgebra generated by polarizations of $G$-invariant polynomials on $V$. We address this problem in a more general setting of $G$-actions on arbitrary affine varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-04T10:49:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L24",
      "14L30"
    ],
    "keywords": [
      "invariant theory",
      "polarizations",
      "invariant polynomials",
      "arbitrary affine varieties",
      "finite dimensional algebraic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5072L"
    }
  }
}