{
  "id": "1210.6907",
  "version": "v1",
  "published": "2012-10-25T16:59:40.000Z",
  "updated": "2012-10-25T16:59:40.000Z",
  "title": "Dimensions of components of tensor products of the linear groups representations with applications to Beurling-Fourier algebras",
  "authors": [
    "Benoît Collins",
    "Hun Hee Lee",
    "Piotr Śniady"
  ],
  "comment": "22 pages",
  "journal": "Studia Math. 220 (2014), 221-241doi",
  "doi": "10.4064/sm220-3-2",
  "categories": [
    "math.RT",
    "math.CO",
    "math.OA"
  ],
  "abstract": "We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of the linear group GL(n) representations and universal upper bounds on the relative dimensions of irreducible components of a tensor product of the special linear group SL(n) representations. This problem is motivated by harmonic analysis problems, and we give some applications of this result in the theory of Beurling-Fourier algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-25T16:59:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "22E46",
      "43A30",
      "47L30",
      "51F25"
    ],
    "keywords": [
      "linear groups representations",
      "tensor product",
      "beurling-fourier algebras",
      "components",
      "universal upper bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.6907C"
    }
  }
}