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

preprint2013arXivOpen access

We decompose the $\hat{\mathfrak{sl}}(n)$ -module $V(Λ_0) \otimes V(Λ_i)$ and give generating function identities for the outer multiplicities. In the process we discover some seemingly new partition identities for $n=3, 4$ .

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

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