Recurrence relations for characters of affine Lie algebra $A

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157614By using the known description of combinatorial bases for Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebra $\mathfrak{sl}(l+1,\mathbb{C})^{\widetilde{}}$, as well as certain intertwining operators between standard modules, we obtain exact sequences of Feigin-Stoyanovsky's type subspaces at fixed level $k$. This directly leads to systems of recurrence relations for formal characters of those subspaces.19 pagesQuantum Algebra17B67; 17B69; 05A19Recurrence relations for characters of affine Lie algebra $A_{\ell}^{(1)}$text