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On Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules
Published 12 Sep 2011 in math.QA and math.CO | (1109.2478v1)
Abstract: We decompose the $\hat{\mathfrak{sl}}(n)$-module $V(\Lambda_0) \otimes V(\Lambda_0)$ 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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