English

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

Quantum Algebra 2011-09-13 v1 Combinatorics

Abstract

We decompose the sl^(n)\hat{\mathfrak{sl}}(n)-module V(Λ0)V(Λ0)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=2,3n=2,3.

Cite

@article{arxiv.1109.2478,
  title  = {On Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules},
  author = {Kailash C. Misra and Evan A. Wilson},
  journal= {arXiv preprint arXiv:1109.2478},
  year   = {2011}
}
R2 v1 2026-06-21T19:03:29.169Z