19 citations · 35 across the 10 of their papers we have counts for
10 papers
On Nichols algebras associated to Near-rack solutions of the Yang-Baxter equation
Yuxing Shi
Let be any set-theoretical non-degenerate solution of the Yang-Baxter equation and be the derived solution of . As for any braided vector space $(W…
Finite-dimensional Nichols algebras over the Suzuki algebras III: simple Yetter-Drinfeld modules
Yuxing Shi
In this paper, we continue to investigate finite-dimensional Nichols algebras over simple Yetter-Drinfeld modules of the Suzuki algebras . It is finished for the ca…
Automorphism group of Suzuki's Hopf algebra
Yuxing Shi, Naihong Hu
In this paper, we calculate explicitly automorphism group of the Suzuki's Hopf algebra by viewing Yetter-Drinfeld modules as invariants of Hopf algebra automorphisms.
On some classification of finite-dimensional Hopf algebras over the Hopf algebra of Kashina
Yiwei Zheng, Yun Gao, Naihong Hu +1
Let be the dual of -dimensional nontrivial semisimple Hopf algebra in the classification work of Kashina \cite{K00}. We completely determine all finite-dimensiona…
Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation
Yuxing Shi
In this paper, we investigate the Nichols algebra associated to any non-degenerate involutive solution of the Yang-Baxter equation. Infinite exampl…
The Nichols algebra and a class of combinatorial numbers
Yuxing Shi
We investigate the Nichols algebra which are from the Yetter-Drinfeld category of Suzuki algebras. The and dimensional Nichols algebras, first ap…
Finite dimensional Nichols algebras over Suzuki algebra II: over simple Yetter-Drinfeld modules of
Yuxing Shi
In this paper, the author gives a complete set of simple Yetter-Drinfeld modules over Suzuki algebra and investigates the Nichols algebras over those irreducible…
Finite dimensional Nichols algebras over Suzuki algebra I: simple Yetter-Drinfeld modules of
Yuxing Shi
The Suzuki algebra was introduced by Suzuki Satoshi in 1998, which is a class of cosemisimple Hopf algebras. It is not categorically Morita-equivalent to a group alge…
Finite dimensional Hopf algebras over Kac-Paljutkin algebra
Yuxing Shi
Let be the neither commutative nor cocommutative semisimple eight dimensional Hopf algebra, which is also called Kac-Paljutkin algebra \cite{MR0208401}. All simple Yetter-Dri…
On the Center of Two-parameter Quantum Groups
Naihong Hu, Yuxing Shi
The paper mainly considers the center of two-parameter quantum groups via an analogue of the Harish-Chandra homomorphism. In the case when is od…