Non-diagonal solutions of the reflection equation for the trigonometric A(1)n-1 vertex model

Abstract

We obtain a class of non-diagonal solutions of the reflection equation for the trigonometric A(1)n-1 vertex model. The solutions can be expressed in terms of intertwinner matrix and its inverse, which intertwine two trigonometric R-matrices. In addition to a discrete (positive integer) parameter l, 1≤ l≤ n, the solution contains n+2 continuous boundary parameters.

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