On modules of bounded multiplicities for the symplectic algebras

Britten, D.; Lemire, F.

doi:10.1090/S0002-9947-99-02338-7

On modules of bounded multiplicities for the symplectic algebras
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by D. J. Britten and F. W. Lemire

Trans. Amer. Math. Soc. 351 (1999), 3413-3431

DOI: https://doi.org/10.1090/S0002-9947-99-02338-7

Published electronically: April 20, 1999

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Abstract:

Simple infinite dimensional highest weight modules having bounded weight multipicities are classified as submodules of a tensor product. Also, it is shown that a simple torsion free module of finite degree tensored with a finite dimensional module is completely reducible.

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