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arXiv · 1109.2478

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

Kailash C. Misra·Evan A. Wilson
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Abstract

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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Kailash C. Misra, Evan A. Wilson. 2011-09-12. On Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules. https://arxiv.org/abs/1109.2478

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