Quantum current algebra $\mathbf{U}({\mathfrak{gl}}_n[t])$: canonical bases, rigidity, and relation with Yangians

Qiang Fu

We introduce a quantum deformation $\mathbf{U}({\mathfrak{gl}}_n[t])$ of the universal enveloping algebra of the current algebra ${\mathfrak{gl}}_n[t]$, realized as a parabolic subalge…