-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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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2024
Автори: Wu, Xianghua, Lin, Hongda, Zhang, Honglian
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2024
Онлайн доступ: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
Цитувати:-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
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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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language English
last_indexed 2026-03-19T12:55:57Z
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publisher Інститут математики НАН України
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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
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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
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AT linhongda matrixpresentationofquantumaffinesuperalgebrafortype212
AT zhanghonglian matrixpresentationofquantumaffinesuperalgebrafortype212