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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2022
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| 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 ₙ₋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| Summary: | 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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| ISSN: | 1815-0659 |