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arXiv · 1107.3900

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

Miroslav Jerkovic·Mirko Primc
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Abstract

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.

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Miroslav Jerkovic, Mirko Primc. 2011-07-20. Quasi-particle fermionic formulas for $(k,3)$-admissible configurations. https://arxiv.org/abs/1107.3900

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