3 problems

Let $B^{r_i,s_i}$ be Kirillov–Reshetikhin crystals and let $S$ denote the splitting map from a tensor product of such crystals to a tensor power of $B^{1,1}$, obtained by iterative…

Let $\Gamma$ and $\Gamma'$ be $\lambda$-chains, and let $\mathcal{A}(\Gamma)$ and $\mathcal{A}(\Gamma')$ be the corresponding quantum alcove models. Let $B^{\otimes \mathbf{p}}$ be…

Let the box-ball system corresponding to the vector representation of type $A^{(1)}_1$ be given, and let its states be parametrized by rigged configurations via the rigged configur…