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

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

2011-09-12

arxiv.org/abs/1109.2478v1

Mathematics

Quantum Algebra

Scientific paper

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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