2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88122In this note we give a short proof of Cherednik's generalization of Macdonald-Mehta identities for the root system $A_{n-1}$ using the representation theory of quantum groups. These identities, suggested and proved by Cherednik, give an explicit formula for the integral of a product of Macdonald polynomials with respect to a ``difference analogue of the Gaussian measure''.7 pages, amstexQuantum Algebratext