Recurrence relations for characters of affine Lie algebra $A_{\ell }^{(1)}$

Abstract

By using the known description of combinatorial bases for Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebra $\mathfrak{sl}(l+1,\mathbb{C}{)}^{\tilde{}}$, 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 pages

References in corpus (1)

• Intertwining vertex operators and certain representations of sl(n)^