An Analysis of the Multiplicity Spaces in Classical Symplectic Branching
نویسنده
چکیده
Symplectic branching involves multiplicities greater than one. Let L be the n-fold product of SL(2, C). We prove that each multiplicity space that arises in the restriction of an irreducible representation of Sp(n, C) to Sp(n − 1, C) is naturally an irreducible L-module. As an application we obtain a Gelfand-Zeitlin type basis for all irreducible finite dimensional representations of Sp(n, C).
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An Analysis of the Multiplicity Spaces in Branching of Symplectic Groups
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