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

Evan A. Wilson; Kailash C. Misra

arxiv: 1109.2478 · v1 · pith:U3LNKTX5new · submitted 2011-09-12 · 🧮 math.QA · math.CO

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

Kailash C. Misra , Evan A. Wilson This is my paper

classification 🧮 math.QA math.CO

keywords identitieslambdamathfrakcasesdecomposedecompositiondiscoverfunction

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

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