English

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

Quantum Algebra 2022-07-20 v2 Mathematical Physics math.MP

Abstract

We introduce an algebra Kn\mathcal{K}_n which has a structure of a left comodule over the quantum toroidal algebra of type An1A_{n-1}. Algebra Kn\mathcal{K}_n is a higher rank generalization of K1\mathcal{K}_1, which provides a uniform description of deformed WW algebras associated with Lie (super)algebras of types BCD. We show that Kn\mathcal{K}_n possesses a family of commutative subalgebras.

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Cite

@article{arxiv.2112.14631,
  title  = {Quantum Toroidal Comodule Algebra of Type $A_{n-1}$ and Integrals of Motion},
  author = {Boris Feigin and Michio Jimbo and Evgeny Mukhin},
  journal= {arXiv preprint arXiv:2112.14631},
  year   = {2022}
}