Quasi-particle fermionic formulas for \((k, 3)\)-admissible configurations (Q424100)

For an affine Lie algebra \(\hat{\mathfrak{g}}\) and a corresponding standard module \(L(\Lambda)\), it is important to study certain subspaces \(W(\Lambda)\) of \(L(\Lambda)\), called Feigin-Stoyanovsky type subspaces, of the standard module \(L(\Lambda)\). Following work of \textit{G. Georgiev} [J. Pure Appl. Algebra 112, No. 3, 247--286 (1996; Zbl 0871.17018)] and using vertex operator algebra theory, the authors succeed in giving fermionic-type character formulas for \(W(\Lambda)\), when \(\mathfrak{g}=\mathfrak{sl}(3,\mathbb C)\).