2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148293Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of $n$ ``free'' nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincaré group respectively. In the relativistic case we also discuss the situation where the braid group is replaced by the ribbon braid group.26 pages, standard LaTeX, 3 figures on request. An error in the appendix has been corrected, thanks to D.R.GrigoreHigh Energy Physics - Theorytext