Quantum toroidal algebra associated with ${\mathfrak{gl}}_{m|n}$

Luan Bezerra, Evgeny Mukhin

We introduce and study the quantum toroidal algebra ${\mathcal{E}}_{m|n}(q_1,q_2,q_3)$ associated with the superalgebra ${\mathfrak{gl}}_{m|n}$ with $m\ne n$, where the parameters sat…