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

Abstract

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.

References in corpus (1)

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

Cited by in corpus (1)

• Vertex operators and principal subspaces of level one for $U_q({\widehat{\mathfrak{sl}}}_2)$