Deformations of $\mathcal{W}$ algebras via quantum toroidal algebras

B. Feigin, M. Jimbo, E. Mukhin +1

The deformed $\mathcal{W}$ algebras of type $\text{A}$ have a uniform description in terms of the quantum toroidal ${\mathfrak{gl}}_1$ algebra $\mathcal{E}$. We introduce a comodule…