Tensor products of torsion free C-n-modules of finite degree and finite dimensional modules

摘要

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.