On double quantum affinization: 1. Type ${\mathfrak{a}}_1$

Elie Mounzer, Robin Zegers

We define the double quantum affinization ${\ddot{\mathrm{U}}}_q({\mathfrak{a}}_1)$ of type ${\mathfrak{a}}_1$ as a topological Hopf algebra. We prove that it admits a subalgebra $\ddot{\…