The exact diagonalization technique is used to study many-particle propertiesof interacting electrons with spin, confined in a two-dimensional harmonicpotential. The single-particle basis is limited to the lowest Landau level. Theresults are analyzed as a function of the total angular momentum of the system.Only at angular momenta corresponding to the filling factors 1, 1/3, 1/5 etc.the system is fully polarized. The lowest energy states exhibit spin-waves,domains, and localization, depending on the angular momentum. Vortices existonly at excited polarized states. The high angular momentum limit showslocalization of electrons and separation of the charge and spin excitations.
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