4 citations · 4 across the 8 of their papers we have counts for
8 papers
Gauge invariants raised from commutators of unimodular Hopf algebras
Zhihua Wang, Libin Li
This paper studies commutators in finite-dimensional unimodular Hopf algebras and invariants derived from them. For a unimodular Hopf algebra with the distinguished group-like…
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…
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…
Invariants from the Sweedler power maps on integrals
Zhihua Wang, Gongxiang Liu, Libin Li
For a finite-dimensional Hopf algebra with a nonzero left integral , we investigate a relationship between and , where and are respectively…
Fusion categories containing a fusion subcategory with maximal rank
Jingcheng Dong, Gang Chen, Zhihua Wang
In this paper, we study fusion categories which contain a proper fusion subcategory with maximal rank. They can be viewed as generalizations of near-group fusion categories. We fir…
Bilinear forms on Green rings of finite dimensional Hopf algebras
Z. Wang, L. Li, Y. Zhang
In this paper, we study the Green ring and the stable Green ring of a Hopf algebra by means of bilinear forms. We show that the Green ring of a Hopf algebra of finite represent…
Green Rings of Pointed Rank One Hopf algebras of Non-nilpotent Type
Zhihua Wang, Libin Li, Yinhuo Zhang
In this paper, we continue our study of the Green rings of finite dimensional pointed Hopf algebras of rank one initiated in \cite{WLZ}, but focus on those Hopf algebras of non-nil…
Green Rings of Finite Dimensional Pointed Rank One Hopf algebras of Nilpotent Type
Zhihua Wang, Libin Li, Yinhuo Zhang
Let be a finite dimensional pointed rank one Hopf algebra of nilpotent type. We first determine all finite dimensional indecomposable -modules up to isomorphism, and then es…