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math.RT2022
The Grothendieck algebras of certain smash product semisimple Hopf algebras
Zhihua Wang, Gongxiang Liu, Libin Li
Let be a semisimple Hopf algebra over an algebraically closed field $\mathbbm{k}$ of characteristic $p>\dim_{\mathbbm{k}}(H)^{1/2}$ and $p\nmid 2\dim_{\mathbbm{k}}(H)$. In this…
math.RT2022
Higher Frobenius-Schur indicators for semisimple Hopf algebras in positive characteristic
Zhihua Wang, Gongxiang Liu, Libin Li
Let be a semisimple Hopf algebra over an algebraically closed field $\mathbbm{k}$ of characteristic $p>\dim_{\mathbbm{k}}(H)^{1/2}$. We show that the antipode of satisf…
math.RT2012★ 5 cited
The Green rings of the generalized Taft Hopf algebras
Libin Li, Yinhuo Zhang
In this paper, we investigate the Green ring of the generalized Taft algebra , extending the results of Chen, Van Oystaeyen and Zhang in \cite{Coz}. We shall…