2 problems

Let $F4(d)$ be the symmetric ribbon category generated by a trivalent vertex subject to the defining $F4(d)$ relations, and let $\operatorname{Hom}$ denote a morphism space in this…

Let $\mathcal{G}$ be a group of type $F_4$, let $x_0$ be the point used to define the dual Vinberg representations, let $h$ be the Coxeter number of $\mathcal{G}$, and for each pos…