Zhimin Liu

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20182022

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math.RA2022

Structures of Adjoint-Stable Algebras over Factorizable Hopf Algebras

Zhimin Liu, Shenglin Zhu

For a quasi-triangular Hopf algebra $(H, R)$ , there is a notion of transmuted braided group $H_{R}$ of $H$ introduced by Majid. The transmuted braided group $H_{R}$ is…

math.RA2018

On the Structure of Irreducible Yetter-Drinfeld Modules over Quasi-Triangular Hopf Algebras

Zhimin Liu, Shenglin Zhu

Let $(H, R)$ be a finite dimensional semisimple and cosemisimple quasi-triangular Hopf algebra over a field $k$ . In this paper, we give the structure of irreducible obj…