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

We introduce an algebra 𝒦ₙ which has the 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 posses...

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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
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Quantum Toroidal Comodule Algebra of Type 𝐴ₙ₋₁ and Integrals of Motion. Boris Feigin, Michio Jimbo and Evgeny Mukhin. SIGMA 18 (2022), 051, 31 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine