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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211736 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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 |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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 possesses a family of commutative subalgebras.
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| ISSN: | 1815-0659 |