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20092026
most citedOn the center of the quantized enveloping algebra of a simple Lie algebra

5 citations · 13 across the 14 of their papers we have counts for

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math.RT2026

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…

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.RT2015

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…

math.RT2014

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…

math.RT2013

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…

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…