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Summary form only given. Coherent exciton-exciton interactions have been recognized to be very important in nonlinear optical responses of semiconductor nanostructures. Polarization dependent four-wave-mixing (FWM) techniques have been widely used to study exciton-exciton interactions and dephasing processes of excitons. In this paper, we have investigated the polarization dependence of degenerate and nondegenerate FWM signals and discussed the two-exciton states in (C/sub 6/H/sub 13/NH/sub 3/)/sub 2/PbI/sub 4/. This material is a self-organized quantum-well system, in which a two-dimensional network of corner-sharing octahedra is sandwiched between organic barrier layers of alkylammonium chains.