Rogers-Ramanujan type identities at ${\Lambda }_0$ from perfect crystals of exceptional quantum affine algebras

Shaolong Han

We derive Rogers--Ramanujan type partition identities at the fundamental weight ${\Lambda }_0$ for the exceptional affine types $G_2^{(1)}$, $D_4^{(3)}$, $F_4^{(1)}$, $E_6^{(2)}$, $E_6^{(1)…