Zhihua Wang

collaborators

3 papers

math.RT2022

The Grothendieck algebras of certain smash product semisimple Hopf algebras

Zhihua Wang, Gongxiang Liu, Libin Li

Let $H$ 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 $H$ 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 $S$ of $H$ satisf…

math.QA2022

Invariants from the Sweedler power maps on integrals

Zhihua Wang, Gongxiang Liu, Libin Li

For a finite-dimensional Hopf algebra $A$ with a nonzero left integral $Λ$ , we investigate a relationship between $P_{n} (Λ)$ and $P_{n}^{J} (Λ)$ , where $P_{n}$ and $P_{n}^{J}$ are respectively…