Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Zhu, Shenglin"'
Autor:
Hao, Lingxiao, Zhu, Shenglin
Aguiar and Mahajan provided several coalgebra axioms and algebra axioms for a family of left-regular bands to construct a commutative diagram of algebras and coalgebras. In this paper, we will add compatibility axioms to make it a diagram of Hopf alg
Externí odkaz:
http://arxiv.org/abs/2411.12204
Autor:
Liu, Zhimin, Zhu, Shenglin
For a semisimple quasi-triangular Hopf algebra $\left( H,R\right) $ over a field $k$ of characteristic zero, and a strongly separable quantum commutative $H$-module algebra $A$ over which the Drinfeld element of $H$ acts trivially, we show that $A\#H
Externí odkaz:
http://arxiv.org/abs/2211.15191
Autor:
Liu, Zhimin, Zhu, Shenglin
For a quasi-triangular Hopf algebra $\left( H,R\right) $, there is a notion of transmuted braided group $H_{R}$ of $H$ introduced by Majid. The transmuted braided group $H_{R}$ is a Hopf algebra in the braided category $_{H}\mathcal{M}$. The $R$-adjo
Externí odkaz:
http://arxiv.org/abs/2208.09670
Autor:
Fang, Xin, Wu, Caibin, Liao, Ningning, Yuan, Chengfang, Zhong, Jiuxiang, Zhu, Shenglin, Liu, Aijun, Xiao, Ke
Publikováno v:
In Minerals Engineering November 2024 218
Autor:
Liu, Zhimin, Zhu, Shenglin
Let $\mathcal{C}$ be a finite braided multitensor category. Let $B$ be Majid's automorphism braided group of $\mathcal{C}$, then $B$ is a cocommutative Hopf algebra in $\mathcal{C}$. We show that the center of $\mathcal{C}$ is isomorphic to the categ
Externí odkaz:
http://arxiv.org/abs/2108.09102
Autor:
Zhou, Jingheng, Zhu, Shenglin
In this work, we use probability groups, introduced by Harrison in 1979, as a tool to study a semisimple Hopf algebra $H$ with a commutative character ring and prove that the algebra generalized by the dual probability group is the center $Z(H)$ of $
Externí odkaz:
http://arxiv.org/abs/1912.07831
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Publikováno v:
Polish Maritime Research, Vol 29, Iss 4, Pp 155-161 (2022)
Ocean waves are a promising source of renewable energy, but harvesting this irregular low-frequency energy is challenging due to technological limitations. In this paper, a pendulum plate-based triboelectric nanogenerator (PP-TENG) is proposed. The P
Externí odkaz:
https://doaj.org/article/8f0c045b27f7498d80a9ec2f0b27d7c6
Autor:
Liu, Zhimin, Zhu, Shenglin
Let $\left( H,R\right) $ be a finite dimensional semisimple and cosemisimple quasi-triangular Hopf algebra over a field $k$. In this paper, we give the structure of irreducible objects of the Yetter-Drinfeld module category ${} {}_{H}^{H}\mathcal{YD}
Externí odkaz:
http://arxiv.org/abs/1811.05593