Quasi-particle fermionic formulas for $(k,3)$-admissible configurations

Abstract

We construct new monomial quasi-particle bases of Feigin-Stoyanovsky's type subspaces for affine Lie algebra $\mathfrak{sl}(3,\mathbb{C}{)}^{\tilde{}}$ from which the known fermionic-type formulas for $(k,3)$-admissible configurations follow naturally. In the proof we use vertex operator algebra relations for standard modules and coefficients of intertwining operators.

18 pages

References in corpus (1)

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

Cited by in corpus (1)

• Principal subspaces for the affine Lie algebras in types $D$, $E$ and $F$