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The gl(N) and U_q(gl(N)) quantum spin chains in the presence of integrablespin impurities are considered. Within the Bethe ansatz formulation, we derivethe associated transmission amplitudes, and the corresponding transmissionmatrices -representations of the underlying quadratic algebra- that physicallydescribe the interaction between the various particle-like excitationsdisplayed by these models and the spin impurity.

Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains