K. Zhou

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20202025

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4 papers · 1 filter

math.QA2025

A class of (infinite-dimensional) cosemisimple Hopf algebras constructed via abelian extensions

Jing Yu, Gongxiang Liu, Kun Zhou +1

In this paper, we aim to study abelian extensions for some infinite group. We show that the Hopf algebra $k^{G}^{τ} #_{σ} k F$ constructed through abelian extensions of $\Bbbk F…

math.QA2023

Construction of factorizable Hopf algebras

Kun Zhou

We focus on the problem of producing new modular tensor categories from Hopf algebras. To do this, we first give a general method to construct factorizable Hopf algebras. Then we a…

math.QA2021

Quasitriangular structures on abelian extensions of $Z_{2}$

Kun Zhou

The aim of this paper is to give all quasitriangular structures on a class of semisimple Hopf algebras constructed through abelian extensions of $k Z_{2}$ by $k^{G}$ …

math.QA2020

On the quasitriangular structures of abelian extensions of $Z_{2}$

Kun Zhou, Gongxiang Liu

The aim of this paper is to study quasitriangular structures on a class of semisimple Hopf algebras constructed through abelian extensions of $Z_{2}$ for an abelian group $G$ . We pro…

A class of (infinite-dimensional) cosemisimple Hopf algebras constructed via abelian extensions

Construction of factorizable Hopf algebras

Quasitriangular structures on abelian extensions of Z2​

On the quasitriangular structures of abelian extensions of Z2​

Quasitriangular structures on abelian extensions of $Z_{2}$

On the quasitriangular structures of abelian extensions of $Z_{2}$