Abstract
Abstract
We study solutions of the reflection equation related to the quantum affine algebra
U
q
(
s
l
n
^
)
. First, we explain how to construct a family of stochastic integrable vertex models with fixed boundary conditions. Then, we construct upper- and lower-triangular solutions of the reflection equation related to symmetric tensor representations of
U
q
(
s
l
n
^
)
with arbitrary spin. We also prove the star–star relation for the Boltzmann weights of the Ising-type model, conjectured by Bazhanov and Sergeev, and use it to verify certain properties of the solutions obtained.
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