Characters of Feigin-Stoyanovsky's type subspaces of level one modules for affine Lie algebras of types $A_\ell^{(1)}$ and $D_4^{(1)}$

Details Characters of Feigin-Stoyanovsky's type subspaces of level one modules for affine Lie algebras of types $A_\ell^{(1)}$ and $D_4^{(1)}$ Characters of Feigin-Stoyanovsky's type subspaces of level one modules for affine Lie algebras of types $A_\ell^{(1)}$ and $D_4^{(1)}$

2010-02-01

arxiv.org/abs/1002.0348v1

Mathematics

Quantum Algebra

Scientific paper

We use combinatorial description of bases of Feigin-Stoyanovsky's type
subspaces of standard modules of level 1 for affine Lie algebras of types
$A_\ell^{(1)}$ and $D_4^{(1)}$ to obtain character formulas. These descriptions
naturally lead to systems of recurrence relations for which we also find
solutions.

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