Tensor Products of Torsion Free C n -Modules of Finite Degree and Finite Dimensional Modules |
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| Authors: | Daniel Britten Justin Lariviere |
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| Institution: | Department of Mathematics and Statistics , University of Windsor , Windsor, Ontario, Canada |
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| Abstract: | It is known that every torsion free C n -module of finite degree is completely reducible. In this article, we provide a formula for the decomposition of the tensor product of a simple torsion free C n -module of finite degree with a simple finite dimensional C n -module. As a byproduct we obtain a recursion formula for the decomposition of the tensor product of any two simple finite dimensional C n -modules. |
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| Keywords: | Admissable weights Finite multiplicities Torsion free Weight modules |
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