2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153678We compare two approaches to the calculation of irreducible characters of the Lie algebra gl(infinity)^ with negative integral central charge. As a consequence, we obtain a "reciprocity formula" for Clebsch-Gordan coefficients, in the limit when the central charge tends to infinity.10 pages, LatexQuantum AlgebraRepresentations of the Lie algebra gl(infinity)^ and ``reciprocity formula'' for Clebsch-Gordan coefficientstext