2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64738A complete classification and character formulas for finite-dimensional irreducible representations of the rational Cherednik algebra of type A is given. Less complete results for other types are obtained. Links to the geometry of affine flag manifolds and Hilbert schemes are discussed.29 pp., LaTeX. Exposition improved, some details addedRepresentation TheoryAlgebraic GeometryQuantum AlgebraRings and AlgebrasFinite dimensional representations of rational Cherednik algebrastext