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Non-simple quasitriangular Hopf algebras of dimension \(pq^2\)

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Let p and q be distinct odd primes and assume \(\mathbbm {k}\) is an algebraically closed field of characteristic zero. We classify all quasitriangular Hopf algebras of dimension \(pq^2\) over \(\mathbbm {k}\), which are not simple as Hopf algebras. Moreover, we obtained all quasitriangular structures on these Hopf algebras.

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Acknowledgements

This work was supported by the National Nature Science Foundation of China(NSFC) 11722016.

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  1. Department of Mathematics, Nanjing University, Nanjing, 210093, China

    Kun Zhou & Gongxiang Liu

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  1. Kun Zhou
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  2. Gongxiang Liu
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Correspondence to Kun Zhou.

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Zhou, K., Liu, G. Non-simple quasitriangular Hopf algebras of dimension \(pq^2\). manuscripta math. 172, 1133–1152 (2023). https://doi.org/10.1007/s00229-022-01429-4

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