2 problems

Let $G_1,\ldots,G_p$ be twisted Levi subgroups, let $\phi_{(i)}:\fa_i\to\bC$ be refined leading terms, let $X_{(i)}\in\check{\fa}_i$ be their duals, and let $A'$ and the central su…

Let $G$ be a connected simple algebraic group, let $\hg$ be the associated affine Kac–Moody algebra at critical level, and let $(J,\tphi)$ be a $K$-type for the loop group obtained…