Geodesic
Quantum Toroidal Comodule Algebra of Type $A_{n-1}$ and Integrals of Motion
Symmetry, integrability and geometry: methods and applications, Tome 18 (2022) Cet article a éte moissonné depuis la source Math-Net.Ru

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We introduce an algebra $\mathcal{K}_n$ which has a structure of a left comodule over the quantum toroidal algebra of type $A_{n-1}$. Algebra $\mathcal{K}_n$ is a higher rank generalization of $\mathcal{K}_1$, which provides a uniform description of deformed $W$ algebras associated with Lie (super)algebras of types BCD. We show that $\mathcal{K}_n$ possesses a family of commutative subalgebras.
Keywords: quantum toroidal algebras, integrals of motion.
Mots-clés : comodule 
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     author = {Boris Feigin and Michio Jimbo and Evgeny Mukhin},
     title = {Quantum {Toroidal} {Comodule} {Algebra} of {Type} $A_{n-1}$ and {Integrals} of {Motion}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a50/}
}
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Boris Feigin; Michio Jimbo; Evgeny Mukhin. Quantum Toroidal Comodule Algebra of Type $A_{n-1}$ and Integrals of Motion. Symmetry, integrability and geometry: methods and applications, Tome 18 (2022). http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a50/

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