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

R. Michael Howe, Tuong Ton-That

math-pharXiv:math-ph/9910025

Abstract

The structure of r-fold tensor products of irreducible tame representations of the inductive limit U(∞) 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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