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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 042, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.042 (Mi sigma295) 		 
Local Quasitriangular Hopf Algebras

Shouchuan Zhangab, Mark D. Goulda, Yao-Zhong Zhanga

a Department of Mathematics, University of Queensland, Brisbane 4072, Australia
b Department of Mathematics, Hunan University, Changsha 410082, P. R. China
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DOI: https://doi.org/10.3842/SIGMA.2008.042
Abstract: 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.
Keywords: Hopf algebra; braided category.
Received: January 31, 2008; in final form April 30, 2008; Published online May 9, 2008
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Document Type: Article
MSC: 16W30; 16G10
Language: English
Citation: Shouchuan Zhang, Mark D. Gould, Yao-Zhong Zhang, “Local Quasitriangular Hopf Algebras”, SIGMA, 4 (2008), 042, 14 pp.
Citation in format AMSBIB
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