Kangqiao Li

collaborators

4 papers

math.QA2026

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

math.QA2025

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…

math.QA2025

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.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…