Kailash C. Misra

Affiliation: North Carolina State University

Email: misra@math.ncsu.edu

Title Of Talk: On Tensor Product Decomposition of $\widehat{\mathfrak{sl}}(n)$ Modules

URL: arXiv:1109.2478

Abstract: We decompose the $\widehat{\mathfrak{sl}}(n)$-module $V(\Lambda_0) \otimes V(\Lambda_0)$ and give generating function identities for the outer multiplicities. In the process we discover an infinite family of partition identities, which are seemingly new even in the $n=3$ case.

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