Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types

Katsuyuki Naoi, Travis Scrimshaw

We prove that, in types $E_{6,7,8}^{(1)}$, $F_4^{(1)}$ and $E_6^{(2)}$, every Kirillov--Reshetikhin module associated with the node adjacent to the adjoint one (near adjoint node)…