Multiplicity, Invariants and Tensor Product Decomposition of Tame Representations of U(\infty)

Physics – Mathematical Physics

Scientific paper

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48 pages, LaTeX file, to appear in J. Math. Phys

Scientific paper

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.

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