5 citations · 13 across the 14 of their papers we have counts for
14 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 Ring of Strictly Weakly Integral Fusion Categories of Rank 6
Kai Wang, Jingcheng Dong, Libin Li
In this paper, we study strictly weakly integral fusion categories of rank 6 and give a complete classification of their Grothendieck rings. We obtain twelve candidate Grothendieck…
Notes on gamma invariants of finite dimensional Hopf algebras
Xinru Zhang, Libin Li, Yinhuo Zhang
Let be a finite-dimensional, non-semisimple Hopf algebra over an algebraically closed field . This paper investigates the asymptotic behavior of the core of left $H…
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…
On the center of the quantized enveloping algebra of a simple Lie algebra
Libin Li, Limeng Xia, Yinhuo Zhang
Let be a finite dimensional simple complex Lie algebra and the quantized enveloping algebra (in the sense of Jantzen) with being generic. In this p…
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…
Integral almost square-free modular categories
Jingcheng Dong, Libin Li, Li Dai
We study integral almost square-free modular categories; i.e., integral modular categories of Frobenius-Perron dimension , where is a prime number, is a square-free n…
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…
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…
Isomorphisms between quantum groups and
Li-Bin Li, Jie-Tai Yu
Let be a field and suppose are not roots of unity. We prove that the two quantum groups and …
Isomorphisms and automorphisms of quantum groups
Li-Bin Li, Jie-Tai Yu
We consider isomorphisms and automorphisms of quantum groups. Let be a field and suppose are not roots of unity. We prove that the two quantum groups $U_q(\mathfr…