2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167576We propose a scheme to construct the most prominent Abelian and non-Abelian fractional quantum Hall states from K-component Halperin wave functions. In order to account for a one-component quantum Hall system, these SU(K) colors are distributed over all particles by an appropriate symmetrization. Numerical calculations corroborate the picture that the proposed scheme allows for a unification of both Abelian and non-Abelian trial wave functions in the study of one-component quantum Hall systems.4 pages, 2 figures; revised version, published in Phys. Rev. LettMesoscale and Nanoscale Physicstext