Quantum Toroidal Comodule Algebra of Type $A_{n-1}$ and Integrals of Motion

Boris Feigin, Michio Jimbo, Evgeny Mukhin

We introduce an algebra ${\mathcal{K}}_n$ which has a structure of a left comodule over the quantum toroidal algebra of type $A_{n-1}$. Algebra ${\mathcal{K}}_n$ is a higher rank gener…