3 problems

Let $\ddot{\mathrm{U}}_q^0(\mathfrak a_1)$ denote the degree-zero subalgebra of the double quantum affinization algebra of type $\mathfrak a_1$, and let…

Let $\mathcal E_{q^{-4},q^2,q^2}$ be the specialized elliptic Hall algebra, let $\widehat{\mathcal E_{q^{-4},q^2,q^2}}$ denote its completion, and let…

Let $\mathcal E_{q_1,q_2,q_3}$ be the elliptic Hall algebra with $q_1q_2q_3=1$, and let $\mathcal E_{q^{-4},q^2,q^2}$ be its specialization at $(q^{-4},q^2,q^2)$. Let…