2 problems

Let $\mathfrak{g}$ be of type $D_4^{(3)}$, and let $W^{r,s}$ be a Kirillov–Reshetikhin module. KR perfect-crystal conjecture. The module $W^{r,s}$ admits a crystal basis $B^{r,s}$,…

Let $W^{1,s}$ be the Kirillov–Reshetikhin module of type $G_2^{(1)}$. G2^(1) KR crystal-basis conjecture. The module $W^{1,s}$ admits a crystal basis in general. The source records…