2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153585The Macdonald polynomials can be obtained by acting on the constant 1 with creation operators. Three different expressions for these operators are derived, one from the other, in a rather succint way. When the last of these expressions is used, the formalism is seen to imply straightforwardly the integrality of the (q,t)-Kostka coefficients, that is of the expansion coefficients for the Macdonald functions in terms of Schur functions.8 pages, AmsLaTeXQuantum AlgebraA short proof of the integrality of the Macdonald (q,t)-Kostka coefficientstext