Finite Young wall model for representations of \(\imath \)quantum group \({\textbf{U}}^{\jmath }\)

We construct a finite Young wall model for a certain irreducible module over \(\imath \) $ı$ quantum group \({\textbf{U}}^{\jmath }\) ${\mathbf{U}}^{ȷ}$ . Moreover, we show that this irreducible module is a highest weight module and is determined by a crystal structure on the set of finite Young walls.