On the multiplicities of irreducible representations of U(n) in some particular cases |
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Authors: | Igor Szczyrba |
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Institution: | Department of Mathematical Methods of Physics, Warsaw University, Warsaw, Poland |
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Abstract: | Consider the tensor product of an arbitrary irreducible representation of U(n) of signature α with its contragredient. It is shown that the irreducible representation of signature (1, 0, 0,…, 0, -1) occurs in this product with multiplicity equal to the number of distinct components of signature α diminished by one. |
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