{
  "id": "math-ph/9910025",
  "version": "v1",
  "published": "1999-10-15T18:06:09.000Z",
  "updated": "1999-10-15T18:06:09.000Z",
  "title": "Multiplicity, Invariants and Tensor Product Decomposition of Tame Representations of U(\\infty)",
  "authors": [
    "R. Michael Howe",
    "Tuong Ton-That"
  ],
  "comment": "48 pages, LaTeX file, to appear in J. Math. Phys",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RT"
  ],
  "abstract": "The structure of r-fold tensor products of irreducible tame representations of the inductive limit U(\\infty) of unitary groups U(n) are are described, versions of contragredient representations and invariants are realized on Bargmann-Segal-Fock spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-10-15T18:06:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "11.30.-j"
    ],
    "keywords": [
      "tensor product decomposition",
      "invariants",
      "multiplicity",
      "r-fold tensor products",
      "unitary groups"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.533172",
      "journal": "Journal of Mathematical Physics",
      "year": 2000,
      "month": "Feb",
      "volume": 41,
      "number": 2,
      "pages": 991
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000JMP....41..991H"
    }
  }
}