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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2008 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149041 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862638691632021504 |
|---|---|
| author | Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| author_facet | Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-01T00:30:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149041 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T00:30:00Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | 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 |
| spellingShingle | Local Quasitriangular Hopf Algebras Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| title | Local Quasitriangular Hopf Algebras |
| title_full | Local Quasitriangular Hopf Algebras |
| title_fullStr | Local Quasitriangular Hopf Algebras |
| title_full_unstemmed | Local Quasitriangular Hopf Algebras |
| title_short | Local Quasitriangular Hopf Algebras |
| title_sort | local quasitriangular hopf algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149041 |
| work_keys_str_mv | AT zhangs localquasitriangularhopfalgebras AT gouldmd localquasitriangularhopfalgebras AT zhangyaozhong localquasitriangularhopfalgebras |