2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123969The main result is a construction, via the quantum dilogarithm, of certain intertwiner operators, which play the crucial role in the quantization of the cluster X-varieties and construction of the corresponding canonical representation.This is a new version of the last two chapters of our preprint ``Cluster ensembles, quantization and the dilogarithm'' math.AG/0311245Quantum AlgebraAlgebraic Geometrytext