2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61815Bosonic formulas for generating series of partitions with certain restrictions are obtained by solving a set of linear matrix q-difference equations. Some particular cases are related to combinatorial problems arising from solvable lattice models, representation theory and conformal field theory.Latex, 29 pagesQuantum AlgebraCombinatoricstext