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

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

2011-07-20

arxiv.org/abs/1107.3900v1

Mathematics

Quantum Algebra

18 pages

Scientific paper

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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