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arXiv · 1307.7675

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

Kailash C. Misra·Evan A. Wilson
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Abstract

We decompose the $\hat{\mathfrak{sl}}(n)$-module $V(Λ_0) \otimes V(Λ_i)$ 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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BibTeXRIS

Kailash C. Misra, Evan A. Wilson. 2013-07-29. Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules and Identities. https://arxiv.org/abs/1307.7675

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