2 problems

Coherent-family limit conjecture. The crystal ${\mathcal UD}(\chi,T,\theta)$ is the limit of a coherent family of perfect crystals of type $\TY(G,1,2)$ in the cited work.

Let $G$ and $\mathfrak g=\langle \mathfrak t,e_i,f_i\rangle_{i\in I}$ be the affine Kac–Moody group and algebra associated with a generalized Cartan matrix, and let $B^-_w$ be the…