Quantum Toroidal Comodule Algebra of Type An-1 and Integrals of Motion
Abstract
We 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.
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