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Abstract
We study coquasitriangular pointed Majid algebras and braided pointed tensor categories via the quiver approaches. The class of Hopf quivers whose path coalgebras admit coquasitriangular Majid algebras is classified. The quiver settings for general coquasitriangular pointed Majid algebras are also provided. Through this, some examples and classification results are obtained.
ACKNOWLEDGMENTS
The research was supported by the NSFC grants (10601052, 11071111), the SDNSF grants (YZ2008A05, 2009ZRA01128), and the IIFSDU grant (2010TS021). The authors are very grateful to the DAAD for financial support which enabled them to carry out the collaboration at the University of Cologne. They would also like to thank their host Professor Steffen König for his kind hospitality. The second author is supported by the Japan Society for the Promotion of Science under the item “JSPS Postdoctoral Fellowship for Foreign Researchers” and he thanks Professor Akira Masuoka for stimulating discussions.
Notes
Communicated by Q. Wu.