A note on the non-diagonal K-matrices for the trigonometric $A_{n-1}^{(1)}$ vertex model

Abstract

This note presents explicit matrix expressions of a class of recently-discovered non-diagonal K-matrices for the trigonometric $A_{n-1}^{(1)}$ vertex model. From these explicit expressions, it is easily seen that in addition to a {\it discrete} (positive integer) parameter $l$, $1\le l\le n$, the K-matrices contain $n+1$ (or $n$) continuous free boundary parameters.

Latex file, 7 pages