-Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2)
In our preceding research, we introduced the Drinfeld presentation of the quantum affine superalgebra associated to the orthosymplectic Lie superalgebra (2 + 1|2) for > 0. We provided the isomorphism between its Drinfeld-Jimbo presentation and Drinfeld presentation using braid group actions as a...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212787 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2). Xianghua Wu, Hongda Lin and Honglian Zhang. SIGMA 20 (2024), 105, 38 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862710642232786944 |
|---|---|
| author | Wu, Xianghua Lin, Hongda Zhang, Honglian |
| author_facet | Wu, Xianghua Lin, Hongda Zhang, Honglian |
| citation_txt | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2). Xianghua Wu, Hongda Lin and Honglian Zhang. SIGMA 20 (2024), 105, 38 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In our preceding research, we introduced the Drinfeld presentation of the quantum affine superalgebra associated to the orthosymplectic Lie superalgebra (2 + 1|2) for > 0. We provided the isomorphism between its Drinfeld-Jimbo presentation and Drinfeld presentation using braid group actions as a fundamental method. Based on this work, our current study delves into its -matrix presentation, wherein we establish a clear isomorphism between the -matrix presentation and the Drinfeld presentation. In particular, our contribution extends the investigations of Jing, Liu, and Molev concerning quantum affine algebra in type BCD to the realm of supersymmetry.
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| first_indexed | 2026-03-19T12:55:57Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-212787 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T12:55:57Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Wu, Xianghua Lin, Hongda Zhang, Honglian 2026-02-11T10:39:02Z 2024 -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2). Xianghua Wu, Hongda Lin and Honglian Zhang. SIGMA 20 (2024), 105, 38 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 17B69 arXiv:2406.09800 https://nasplib.isofts.kiev.ua/handle/123456789/212787 https://doi.org/10.3842/SIGMA.2024.105 In our preceding research, we introduced the Drinfeld presentation of the quantum affine superalgebra associated to the orthosymplectic Lie superalgebra (2 + 1|2) for > 0. We provided the isomorphism between its Drinfeld-Jimbo presentation and Drinfeld presentation using braid group actions as a fundamental method. Based on this work, our current study delves into its -matrix presentation, wherein we establish a clear isomorphism between the -matrix presentation and the Drinfeld presentation. In particular, our contribution extends the investigations of Jing, Liu, and Molev concerning quantum affine algebra in type BCD to the realm of supersymmetry. The authors would like to sincerely thank the anonymous referees for their valuable suggestions and contributions to improving the paper. H. Zhang is partially supported by the support of the National Natural Science Foundation of China (No. 12271332) and the Shanghai Natural Science Foundation grant 22ZR1424600. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2) Article published earlier |
| spellingShingle | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2) Wu, Xianghua Lin, Hongda Zhang, Honglian |
| title | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2) |
| title_full | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2) |
| title_fullStr | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2) |
| title_full_unstemmed | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2) |
| title_short | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2) |
| title_sort | -matrix presentation of quantum affine superalgebra for type (2 + 1|2) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212787 |
| work_keys_str_mv | AT wuxianghua matrixpresentationofquantumaffinesuperalgebrafortype212 AT linhongda matrixpresentationofquantumaffinesuperalgebrafortype212 AT zhanghonglian matrixpresentationofquantumaffinesuperalgebrafortype212 |