2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99189We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension, which are domains, whose groups of group-like elements are finitely generated and abelian, and whose infinitesimal braidings are positive.22 pages. Final version, to appear in Crelle. Only minor changesQuantum AlgebraA characterization of quantum groupstext