Character formulas for Feigin-Stoyanovsky's type subspaces of standard $\mathfrak{sl}(3,\mathbb{C}{)}^{\tilde{}}$-modules

Abstract

Exact sequences of Feigin-Stoyanovsky's type subspaces for affine Lie algebra $\mathfrak{sl}(l+1,\mathbb{C}{)}^{\tilde{}}$ lead to systems of recurrence relations for formal characters of those subspaces. By solving the corresponding system for $\mathfrak{sl}(3,\mathbb{C}{)}^{\tilde{}}$, we obtain a new family of character formulas for all Feigin-Stoyanovsky's type subspaces at general level.

16 pages

References in corpus (1)

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

Cited by in corpus (2)

• Vertex operators and principal subspaces of level one for $U_q({\widehat{\mathfrak{sl}}}_2)$
• Quasi-particle fermionic formulas for $(k,3)$-admissible configurations