2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109941The Landau problem in the noncommutative plane is discussed in the context of realizations of the two-fold centrally extended planar Galilei group and the anyon theory.6 pages, typos corrected. Based on the talks presented at the International Workshop "Supersymmetries and Quantum Symmetries", JINR, Dubna, Russia, 2005 and Summer Mini-Workshop in Theoretical Physics, CECS, Valdivia, Chile, 2006High Energy Physics - Theorytext