Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion
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...
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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 ₙ₋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| _version_ | 1862617421117915136 |
|---|---|
| author | Feigin, Boris Jimbo, Michio Mukhin, Evgeny |
| author_facet | Feigin, Boris Jimbo, Michio Mukhin, Evgeny |
| citation_txt | 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 |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 family of commutative subalgebras.
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| first_indexed | 2026-03-14T10:08:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211736 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T10:08:01Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Feigin, Boris Jimbo, Michio Mukhin, Evgeny 2026-01-09T12:56:11Z 2022 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 1815-0659 2020 Mathematics Subject Classification: 81R10; 81R12; 17B69; 17B80 arXiv:2112.14631 https://nasplib.isofts.kiev.ua/handle/123456789/211736 https://doi.org/10.3842/SIGMA.2022.051 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 family of commutative subalgebras. The study has been funded within the framework of the HSE University Basic Research Program. MJ is partially supported by JSPS KAKENHI Grant Number JP19K03549. EM is partially supported by grants from the Simons Foundation #353831 and #709444. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion Article published earlier |
| spellingShingle | Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion Feigin, Boris Jimbo, Michio Mukhin, Evgeny |
| title | Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion |
| title_full | Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion |
| title_fullStr | Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion |
| title_full_unstemmed | Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion |
| title_short | Quantum Toroidal Comodule Algebra of Type ₙ₋₁ and Integrals of Motion |
| title_sort | quantum toroidal comodule algebra of type ₙ₋₁ and integrals of motion |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211736 |
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