On Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules

preprint2011arXivOpen access

We decompose the $\hat{\mathfrak{sl}}(n)$ -module $V(Λ_0) \otimes V(Λ_0)$ and give generating function identities for the outer multiplicities. In the process we discover some seemingly new partition identities in the cases $n=2,3$ .

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On Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules

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On Tensor Product Decomposition of sl^(n)\hat{\mathfrak{sl}}(n)sl^(n) Modules

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On Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules