Quantum Toroidal Comodule Algebra of Type An−1 and Integrals of Motion

Boris Feigin, Michio Jimbo, Evgeny Mukhin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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)al-gebras of types BCD. We show that Kn possesses a family of commutative subalgebras.

Original languageEnglish
Article number051
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume18
DOIs
StatePublished - 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022, Institute of Mathematics. All rights reserved.

Keywords

  • comodule
  • integrals of motion
  • quantum toroidal algebras

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