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

math.QA

/ Authors

/ 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 $n=2,3$.

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

math.QA

/ Authors

Kailash C. Misra, Evan A. Wilson

/ 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 $n=2,3$.