Feigin, BorisJimbo, MichioMukhin, Evgeny2024-02-052024-02-052022-07-07Feigin, B., Jimbo, M., & Mukhin, E. (2022). Quantum Toroidal Comodule Algebra of Type A(n-1) and Integrals of Motion. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 18, 051. https://doi.org/10.3842/SIGMA.2022.051https://hdl.handle.net/1805/38316We introduce an algebra Kn which has a structure of a left comodule over the quantum toroidal algebra of type An−1. Algebra Kn is a higher rank generalization of K1, which provides a uniform description of deformed W algebras associated with Lie (super)algebras of types BCD. We show that Kn possesses a family of commutative subalgebras.en-USAttribution-ShareAlike 4.0 Internationalquantum toroidal algebrascomoduleintegrals of motionArticle