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Local Quasitriangular Hopf Algebras

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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Main Authors: Zhang, S., Gould, M.D., Zhang, Yao-Zhong
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149041
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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
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