We present a formalism which yields a parametrization of the Hilbert space of general SU(n) spin chains in terms of the spinon excitations and their individual momenta. The formalism is related to the theory of Young tableaux and proves the completeness of the spinon Hilbert space. It allows us to obtain the fractional momentum spacings as well as several highly non-trivial restrictions on the allowed SU(n) spin values for many-spinon states. The algorithm is generalized to supersymmetric chains, i.e., we can include holon excitations in the Hilbert space.

Institut für Theorie der Kondensierten Materie, Universität Karlsruhe