Representations of Quantum Affine Algebras in their -Matrix Realization
We use the isomorphisms between the -matrix and Drinfeld presentations of the quantum affine algebras in types , and produced in our previous work to describe finite-dimensional irreducible representations in the -matrix realization. We also review the isomorphisms for the Yangians of these types...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211074 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Representations of Quantum Affine Algebras in their -Matrix Realization. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 145, 25 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862743801199591424 |
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| author | Jing, Naihuan Liu, Ming Molev, Alexander |
| author_facet | Jing, Naihuan Liu, Ming Molev, Alexander |
| citation_txt | Representations of Quantum Affine Algebras in their -Matrix Realization. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 145, 25 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We use the isomorphisms between the -matrix and Drinfeld presentations of the quantum affine algebras in types , and produced in our previous work to describe finite-dimensional irreducible representations in the -matrix realization. We also review the isomorphisms for the Yangians of these types and use Gauss decomposition to establish an equivalence of the descriptions of the representations in the -matrix and Drinfeld presentations of the Yangians.
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| first_indexed | 2026-04-17T18:35:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211074 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T18:35:21Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Jing, Naihuan Liu, Ming Molev, Alexander 2025-12-23T13:10:45Z 2020 Representations of Quantum Affine Algebras in their -Matrix Realization. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 145, 25 pages 1815-0659 2020 Mathematics Subject Classification: 17B37 arXiv:2008.07847 https://nasplib.isofts.kiev.ua/handle/123456789/211074 https://doi.org/10.3842/SIGMA.2020.145 We use the isomorphisms between the -matrix and Drinfeld presentations of the quantum affine algebras in types , and produced in our previous work to describe finite-dimensional irreducible representations in the -matrix realization. We also review the isomorphisms for the Yangians of these types and use Gauss decomposition to establish an equivalence of the descriptions of the representations in the -matrix and Drinfeld presentations of the Yangians. We acknowledge the support of the Australian Research Council, grant DP180101825. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Representations of Quantum Affine Algebras in their -Matrix Realization Article published earlier |
| spellingShingle | Representations of Quantum Affine Algebras in their -Matrix Realization Jing, Naihuan Liu, Ming Molev, Alexander |
| title | Representations of Quantum Affine Algebras in their -Matrix Realization |
| title_full | Representations of Quantum Affine Algebras in their -Matrix Realization |
| title_fullStr | Representations of Quantum Affine Algebras in their -Matrix Realization |
| title_full_unstemmed | Representations of Quantum Affine Algebras in their -Matrix Realization |
| title_short | Representations of Quantum Affine Algebras in their -Matrix Realization |
| title_sort | representations of quantum affine algebras in their -matrix realization |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211074 |
| work_keys_str_mv | AT jingnaihuan representationsofquantumaffinealgebrasintheirmatrixrealization AT liuming representationsofquantumaffinealgebrasintheirmatrixrealization AT molevalexander representationsofquantumaffinealgebrasintheirmatrixrealization |