Kangqiao Li

activity

20182026

most citedThe Finite Duals of Affine Prime Regular Hopf Algebras of GK-Dimension One

6 citations · 8 across the 9 of their papers we have counts for

collaborators

Showing math.QAShow all

5 papers · 1 filter

math.QA2026

Characterization Results on Generalized Smash Biproduct Hopf Algebras over the Partial Dual Construction

Kangqiao Li

Let $B$ and $D$ be both algebras and coalgebras in a braided monoidal category $C$ . In the literature, there are equivalent conditions for $(B, D)$ to form a generalized s…

math.QA2025

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 $K^{* cop} ⋈_{σ} H$ determined by a (skew) pairing between finite-dimensional Hopf algebras $K^{\ast\ma…

math.QA2025

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…

math.QA2023

Partially Dualized Quasi-Hopf Algebras Reconstructed from Dual Tensor Categories to Finite-Dimensional Hopf Algebras

Kangqiao Li

Let $H$ be a finite-dimensional Hopf algebra with a left coideal subalgebra $B$ . It is known that $Rep (B)$ , the category of finite-dimensional representations of $B$ , is a…

math.QA2023

Hopf algebras with the dual Chevalley property of finite corepresentation type

Jing Yu, Kangqiao Li, Gongxiang Liu

Let $H$ be a finite-dimensional Hopf algebra over an algebraically closed field $k$ with the dual Chevalley property. We prove that $H$ is of finite corepresentation type if an…