25 v 1 1 5 O ct 1 99 9 Multiplicity , Invariants and Tensor Product Decompositions of Tame Representations of U ( ∞ )

نویسندگان

  • Michael Howe
  • Tuong Ton-That
چکیده

The structure of r-fold tensor products of irreducible tame representations of U(∞) = lim −→U(n) are described, versions of contragredient representations and invariants are realized, and methods of calculating multiplicities, Clebsch-Gordan and Racah coefficients are given using invariant theory on Bargmann-Segal-Fock spaces. PACS codes: 02.20.Tw, 02.20.QS, 03.65.Fd

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تاریخ انتشار 2008