1 citations · 1 across the 8 of their papers we have counts for
8 papers
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 constructed through abelian extensions of $\Bbbk F…
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…
Finite dimensional Nichols algebras over of Kashina
Miantao Liu, Gongxiang Liu, Kun Zhou
Let be the Hopf algebra of Kashina [J. Algebra, 232(2000),pp.617-663]. We give all simple Yetter-Drinfel'd modules over , then classify all finite-dimensi…
Quasitriangular Hopf algebras of dimension pq^2
Kun Zhou, Gongxiang Liu
Let p and q be distinct odd primes and assume k is an algebraically closed field of characteristic zero. We classify all quasitriangular Hopf algebras of dimension pq^2 over k, whi…
Quasitriangular structures on abelian extensions of
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 by …
Construction of coend and the reconstruction theorem of bialgebras
Kun Zhou
Assume is a field and let be a small -linear functor from a -linear abelian category to the category of vector spaces over the field , th…
On the quasitriangular structures of abelian extensions of
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 for an abelian group . We pro…
Quasitriangular structures on the 8-dimensional Kac algebra K_8
Kun Zhou, Gongxiang Liu
In this note, we give a list of all non-isomorphic quasitriangular structures on the 8-dimension Kac algebra K_8.