Local Quasitriangular Hopf Algebras
We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite cycles over a local quasitriangular Hopf alge...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2008 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149041 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Local Quasitriangular Hopf Algebras / S. Zhang, M.D. Gould, Yao-Zhong Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149041 |
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dspace |
| spelling |
Zhang, S. Gould, M.D. Zhang, Yao-Zhong 2019-02-19T13:13:47Z 2019-02-19T13:13:47Z 2008 Local Quasitriangular Hopf Algebras / S. Zhang, M.D. Gould, Yao-Zhong Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 16W30; 16G10 https://nasplib.isofts.kiev.ua/handle/123456789/149041 We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite cycles over a local quasitriangular Hopf algebra is a braided tensor category. The authors were financially supported by the Australian Research Council. S.Z. thanks Department of Mathematics, University of Queensland for hospitality. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Local Quasitriangular Hopf Algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Local Quasitriangular Hopf Algebras |
| spellingShingle |
Local Quasitriangular Hopf Algebras Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| title_short |
Local Quasitriangular Hopf Algebras |
| title_full |
Local Quasitriangular Hopf Algebras |
| title_fullStr |
Local Quasitriangular Hopf Algebras |
| title_full_unstemmed |
Local Quasitriangular Hopf Algebras |
| title_sort |
local quasitriangular hopf algebras |
| author |
Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| author_facet |
Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite cycles over a local quasitriangular Hopf algebra is a braided tensor category.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149041 |
| citation_txt |
Local Quasitriangular Hopf Algebras / S. Zhang, M.D. Gould, Yao-Zhong Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. |
| work_keys_str_mv |
AT zhangs localquasitriangularhopfalgebras AT gouldmd localquasitriangularhopfalgebras AT zhangyaozhong localquasitriangularhopfalgebras |
| first_indexed |
2025-12-01T00:30:00Z |
| last_indexed |
2025-12-01T00:30:00Z |
| _version_ |
1850858867861225472 |