2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71732We introduce and study an affine analogue of skew Young diagrams and tableaux on them. It turns out that the double affine Hecke algebra of type $A$ acts on the space spanned by standard tableaux on each diagram. It is shown that the modules obtained this way are irreducible, and they exhaust all irreducible modules of a certain class over the double affine Hecke algebra. In particular, the classification of irreducible modules of this class, announced by Cherednik, is recovered.34 pages. In ver.2, the title is changed and some typos are correctedQuantum AlgebraRepresentation Theorytext