English

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

Representation Theory 2013-07-30 v1

Abstract

We decompose the sl^(n)\hat{\mathfrak{sl}}(n)-module V(Λ0)V(Λi)V(\Lambda_0) \otimes V(\Lambda_i) and give generating function identities for the outer multiplicities. In the process we discover some seemingly new partition identities for n=3,4n=3, 4.

Cite

@article{arxiv.1307.7675,
  title  = {Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules and Identities},
  author = {Kailash C. Misra and Evan A. Wilson},
  journal= {arXiv preprint arXiv:1307.7675},
  year   = {2013}
}

Comments

15 pages. arXiv admin note: substantial text overlap with arXiv:1109.2478

R2 v1 2026-06-22T00:59:45.835Z