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Tensor Products of a Finite-Dimensional Representation and an Infinite-Dimensional Representation
(2016-05-05)
In this project, we explicitly find the decomposition of the tensor product of a Verma module $Z(\lambda)$ and the standard module ${\mathbb C}^n$ of the Lie algebras $\mathfrak{sl}(n)$, $n=2,3$. The result provides an ...