6 citations · 8 across the 9 of their papers we have counts for
10 papers
Characterization Results on Generalized Smash Biproduct Hopf Algebras over the Partial Dual Construction
Kangqiao Li
Let and be both algebras and coalgebras in a braided monoidal category . In the literature, there are equivalent conditions for to form a generalized s…
The Quantum Double of Hopf Algebras Realized via Partial Dualization and the Tensor Category of Its Representations
Ji-Wei He, Xiaojie Kong, Kangqiao Li
In this paper, we aim to study the (generalized) quantum double determined by a (skew) pairing between finite-dimensional Hopf algebras $K^{\ast\ma…
Frobenius-Schur Indicators of Dual Fusion Categories and Semisimple Partially Dualized Quasi-Hopf Algebras
Kangqiao Li
Frobenius-Schur indicators (or indicators for short) of objects in pivotal monoidal categories were defined and formulated by Ng and Schauenburg in 2007. In this paper, we introduc…
Partially Dualized Quasi-Hopf Algebras Reconstructed from Dual Tensor Categories to Finite-Dimensional Hopf Algebras
Kangqiao Li
Let be a finite-dimensional Hopf algebra with a left coideal subalgebra . It is known that , the category of finite-dimensional representations of , is a…
Hopf algebras with the dual Chevalley property of finite corepresentation type
Jing Yu, Kangqiao Li, Gongxiang Liu
Let be a finite-dimensional Hopf algebra over an algebraically closed field with the dual Chevalley property. We prove that is of finite corepresentation type if an…
The Link-Indecomposable Components of Hopf Algebras and Their Products
Kangqiao Li
The link relation on simple subcoalgebras is used for decompositions of coalgebras. In this paper, we provide more sufficient conditions for this link relation, and prove a formula…
The Finite Duals of Affine Prime Regular Hopf Algebras of GK-Dimension One
Kangqiao Li, Gongxiang Liu
This paper is an attempt to construct a special kind of Hopf pairing . Specifically, and should be both affine…
Note on Invariance and Finiteness for the Exponent of Hopf Algebras
Kangqiao Li
There are two notions of exponent of finite-dimensional Hopf algebras introduced and studied in the literature. In this note, we discuss and compare their properties including inva…
On the Antipode of Hopf Algebras with the Dual Chevalley Property
Kangqiao Li, Gongxiang Liu
In this paper, we study the antipode of a finite-dimensional Hopf algebra with the dual Chevalley property and obtain an annihilation polynomial for its antipode . The annih…
On the Exponent of Finite-Dimensional Non-Cosemisimple Hopf Algebras
Kangqiao Li, Shenglin Zhu
In 1999, Y. Kashina introduced the exponent of a Hopf algebra. In this paper, we prove that the exponent of a finite dimensional non-cosemisimple Hopf algebra with Chevalley proper…