%0 Journal Article %T Quasi-particle fermionic formulas for $(k,3)$-admissible configurations %A Miroslav Jerkovic %A Mirko Primc %J Mathematics %D 2011 %I arXiv %X We construct new monomial quasi-particle bases of Feigin-Stoyanovsky's type subspaces for affine Lie algebra $\mathfrak{sl}(3,\mathbb{C})^{\widetilde{}}$ 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. %U http://arxiv.org/abs/1107.3900v1