Integrable crystals and restriction to Levi via generalized slices in the affine Grassmannian

Vasily Krylov

Let $G$ be a connected reductive algebraic group over $\mathbb{C}$. Let ${\Lambda }_G^{+}$ be the monoid of dominant weights of $G$. We construct the integrable crystals $\mathbf{B}^{G}(λ…