-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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| ISSN: | 1815-0659 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212787 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | -Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2). Xianghua Wu, Hongda Lin and Honglian Zhang. SIGMA 20 (2024), 105, 38 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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| ISSN: | 1815-0659 |