2 problems

Classification conjecture for Ising vectors. For every Ising vector $e$ in $V_L^+$, there is a sublattice $U$ of $L$ isomorphic to $\sqrt2A_1$ or $\sqrt2E_8$ such that $e g@@ VU^+$…

Lam–Shimakura conjecture. Every Ising vector of $V_L^+$ belongs to a subVOA $V_U^+$, where $U$ is a sublattice of $L$ isomorphic to $\sqrt{2}A_1$ or $\sqrt{2}E_8$.