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...
Збережено в:
| Дата: | 2008 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149041 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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 |
irk-123456789-149041 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1490412019-02-20T01:28:20Z Local Quasitriangular Hopf Algebras Zhang, S. Gould, M.D. Zhang, Yao-Zhong 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. 2008 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149041 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| spellingShingle |
Zhang, S. Gould, M.D. Zhang, Yao-Zhong Local Quasitriangular Hopf Algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Zhang, S. Gould, M.D. Zhang, Yao-Zhong |
| author_sort |
Zhang, S. |
| title |
Local Quasitriangular Hopf Algebras |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT zhangs localquasitriangularhopfalgebras AT gouldmd localquasitriangularhopfalgebras AT zhangyaozhong localquasitriangularhopfalgebras |
| first_indexed |
2023-05-20T17:32:03Z |
| last_indexed |
2023-05-20T17:32:03Z |
| _version_ |
1796153502187126784 |