Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D
Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277-300] for type A, we showed in our previous work [J. Math. Phys. 61 (2020), 031701, 41 pages] that the Gauss decomposition of the generator matrix in the R-matrix presentation of the quantum affine algebra yields the Drinfe...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210707 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 043, 49 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862577708630802432 |
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| author | Jing, Naihuan Liu, Ming Molev, Alexander |
| author_facet | Jing, Naihuan Liu, Ming Molev, Alexander |
| citation_txt | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 043, 49 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277-300] for type A, we showed in our previous work [J. Math. Phys. 61 (2020), 031701, 41 pages] that the Gauss decomposition of the generator matrix in the R-matrix presentation of the quantum affine algebra yields the Drinfeld generators in all classical types. Complete details for type C were given therein, while the present paper deals with types B and D. The arguments for all classical types are quite similar, so we mostly concentrate on the necessary additional details specific to the underlying orthogonal Lie algebras.
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| first_indexed | 2025-12-17T12:03:41Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-210707 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-17T12:03:41Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Jing, Naihuan Liu, Ming Molev, Alexander 2025-12-15T15:25:35Z 2020 Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 043, 49 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 17B69 arXiv:1911.03496 https://nasplib.isofts.kiev.ua/handle/123456789/210707 https://doi.org/10.3842/SIGMA.2020.043 Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277-300] for type A, we showed in our previous work [J. Math. Phys. 61 (2020), 031701, 41 pages] that the Gauss decomposition of the generator matrix in the R-matrix presentation of the quantum affine algebra yields the Drinfeld generators in all classical types. Complete details for type C were given therein, while the present paper deals with types B and D. The arguments for all classical types are quite similar, so we mostly concentrate on the necessary additional details specific to the underlying orthogonal Lie algebras. Jing acknowledges the National Natural Science Foundation of China grant 11531004 and Simons Foundation grant 523868. Liu acknowledges the National Natural Science Foundation of China grant 11531004, 11701182, and the Guangdong Natural Science Foundation grant 2019A1515012039. Liu and Molev acknowledge the support of the Australian Research Council, grant DP180101825. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D Article published earlier |
| spellingShingle | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D Jing, Naihuan Liu, Ming Molev, Alexander |
| title | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D |
| title_full | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D |
| title_fullStr | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D |
| title_full_unstemmed | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D |
| title_short | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D |
| title_sort | isomorphism between the r-matrix and drinfeld presentations of quantum affine algebra: types b and d |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210707 |
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