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20162023
most citedOn some classification of finite-dimensional Hopf algebras over the Hopf algebra of Kashina

4 citations · 7 across the 6 of their papers we have counts for

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math.QA2023

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…

math.QA2023

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…

math.QA2023

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.

math.QA2022★ 4 cited

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…

math.QA2021

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…

math.QA2021★ 1 cited

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…