Explicit Central Elements of (( + 1))

By using Drinfeld's central element construction and fusion of -matrices, we construct central elements of the quantum group (( + 1)). These elements are explicitly written in terms of the generators.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Authors: Kuan, Jeffrey, Zhang, Keke
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211907
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Explicit Central Elements of (( + 1)). Jeffrey Kuan and Keke Zhang. SIGMA 19 (2023), 036, 13 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Kuan, Jeffrey
Zhang, Keke
author_facet Kuan, Jeffrey
Zhang, Keke
citation_txt Explicit Central Elements of (( + 1)). Jeffrey Kuan and Keke Zhang. SIGMA 19 (2023), 036, 13 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description By using Drinfeld's central element construction and fusion of -matrices, we construct central elements of the quantum group (( + 1)). These elements are explicitly written in terms of the generators.
first_indexed 2026-03-16T06:39:44Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2026-03-16T06:39:44Z
publishDate 2023
publisher Інститут математики НАН України
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spelling Kuan, Jeffrey
Zhang, Keke
2026-01-16T10:56:49Z
2023
Explicit Central Elements of (( + 1)). Jeffrey Kuan and Keke Zhang. SIGMA 19 (2023), 036, 13 pages
1815-0659
2020 Mathematics Subject Classification: 16T05
arXiv:1805.04884
https://nasplib.isofts.kiev.ua/handle/123456789/211907
https://doi.org/10.3842/SIGMA.2023.036
By using Drinfeld's central element construction and fusion of -matrices, we construct central elements of the quantum group (( + 1)). These elements are explicitly written in terms of the generators.
Jeffrey Kuan was supported by the Minerva Foundation and NSF grant DMS-1502665. Both authors were supported by the 2017 Columbia Mathematics REU program, which was funded by Columbia University. We thank Yi Sun for helpful discussions. We thank an anonymous referee for providing references for the introduction.
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Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Explicit Central Elements of (( + 1))
Article
published earlier
spellingShingle Explicit Central Elements of (( + 1))
Kuan, Jeffrey
Zhang, Keke
title Explicit Central Elements of (( + 1))
title_full Explicit Central Elements of (( + 1))
title_fullStr Explicit Central Elements of (( + 1))
title_full_unstemmed Explicit Central Elements of (( + 1))
title_short Explicit Central Elements of (( + 1))
title_sort explicit central elements of (( + 1))
url https://nasplib.isofts.kiev.ua/handle/123456789/211907
work_keys_str_mv AT kuanjeffrey explicitcentralelementsof1
AT zhangkeke explicitcentralelementsof1