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

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

2008-03-10

arxiv.org/abs/0803.1502v2

Mathematics

Quantum Algebra

19 pages

Scientific paper

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

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