The construction of a $E_7$-like quantum subgroup of $SU(3)$

Cain Edie-Michell, Lance Marinelli

In this short note we construct an embedding of the planar algebra for $\overline{\mathrm{Rep}(U_q(s{l}_3))}$ at $q=e^{2\pi i\frac{1}{24}}$ into the graph planar algebra of di…