{
  "id": "math/0512538",
  "version": "v1",
  "published": "2005-12-23T06:47:12.000Z",
  "updated": "2005-12-23T06:47:12.000Z",
  "title": "On invariants of a set of elements of a semisimple Lie algebra",
  "authors": [
    "Ivan V. Losev"
  ],
  "comment": "11 pages",
  "journal": "J. Lie Theory 20(2010), 17-30",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "Let $G$ be a complex reductive algebraic group, $g$ its Lie algebra and $h$ a reductive subalgebra of $g$, $n$ a positive integer. Consider the diagonal actions $G:g^n, N_G(h):h^n$. We study a relation between the algebra $C[h^n]^{N_G(h)}$ and its subalgebra consisting of restrictions to $h^n$ of elements of $C[g^n]^G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-23T06:47:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B20",
      "14R20",
      "14L30"
    ],
    "keywords": [
      "semisimple lie algebra",
      "invariants",
      "complex reductive algebraic group",
      "diagonal actions",
      "reductive subalgebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12538L"
    }
  }
}