2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184270Inspired by factorized scattering from delta-type impurities in (1+1)-dimensional space-time, we propose and analyse a generalization of the Zamolodchikov-Faddeev algebra. Distinguished elements of the new algebra, called reflection and transmission generators, encode the particle-impurity interactions. We describe in detail the underlying algebraic structure. The relative Fock representations are explicitly constructed and a general factorized scattering theory is developed in this framework.LaTex, 34 pages, 4 figuresHigh Energy Physics - TheoryCondensed MatterMathematical PhysicsQuantum AlgebraExactly Solvable and Integrable Systemstext