2 problems

Let $R^{\Lambda}(\beta)$ be a cyclotomic quiver Hecke algebra associated with an affine root system of type $A$, where $\Lambda$ is a dominant weight and $\beta\in Q_+$. Graded cel…

Let $\Lambda_n$ be the indexing set of weights, let $W$ be the relevant Weyl group, and let $\mathcal{A}^w$ denote the orbit or alcove associated with $w\in W$. For…