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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Feigin, Boris, Jimbo, Michio, Mukhin, Evgeny
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211736
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion. Boris Feigin, Michio Jimbo and Evgeny Mukhin. SIGMA 18 (2022), 051, 31 pages

We introduce an algebra ₙ which has the structure of a left comodule over the quantum toroidal algebra of type ₙ₋₁. Algebra ₙ is a higher rank generalization of ₁, which provides a uniform description of deformed algebras associated with Lie (super)algebras of types BCD. We show that ₙ possesses a...