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The quasitriangular structures for a class ofT-smash product Hopf algebras

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Abstract

We study the quasitriangular structures ofT-smash product Hopf algebrasB ⋈ H which are constructed by Caenepeel, Ion, Militaru and Zhu. The necessary and sufficient conditions for a class ofT-smash product Hopf algebras to be quasitriangular Hopf algebras are given. As applications of our results, some corollaries and examples are given as well.

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Authors and Affiliations

  1. School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, 100083, Beijing, P. R. China

    Zhengming Jiao

  2. Department of Mathematics, Henan Normal University, Xinxiang, 453007, Henan, P. R. China

    Zhengming Jiao

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  1. Zhengming Jiao
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Correspondence to Zhengming Jiao.

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This work was partially supported by the NSF grant of Henan Province, P. R. China.

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Jiao, Z. The quasitriangular structures for a class ofT-smash product Hopf algebras. Isr. J. Math. 146, 125–147 (2005). https://doi.org/10.1007/BF02773530

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  • DOI: https://doi.org/10.1007/BF02773530

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