We construct new monomial quasi-particle bases of Feigin-Stoyanovsky type subspaces for the affine Lie algebra sl(3;ℂ)∧ 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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0127-7, author = {Miroslav Jerkovi\'c and Mirko Primc}, title = {Quasi-particle fermionic formulas for (k, 3)-admissible configurations}, journal = {Open Mathematics}, volume = {10}, year = {2012}, pages = {703-721}, zbl = {1288.17016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0127-7} }
Miroslav Jerković; Mirko Primc. Quasi-particle fermionic formulas for (k, 3)-admissible configurations. Open Mathematics, Tome 10 (2012) pp. 703-721. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0127-7/
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