Interplay between Zamolodchikov-Faddeev and Reflection-Transmission algebras

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We show that a suitable coset algebra, constructed in terms of an extension of the Zamolodchikov-Faddeev algebra, is homomorphic to the Reflection-Transmission algebra, as it appears in the study of integrable systems with impurity.
8 pages; a misprint in eq. (2.14) and (2.15) has been corrected

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