Classification of finite-dimensional Hopf algebras over dual Radford algebras

作者：Xiong, Rongchuan; Hu, Naihong^*

来源：BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2022, 28(5): 633-688.

DOI：10.36045/j.bbms.210612

• Nichols algebra
• Hopf algebra
• Dual Chevalley property
• Dual Rad-ford algebra

We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension 4p for a prime p > 5. In particular, we obtain families of new examples of finite-dimensional Hopf algebras without the dual Chevalley property.

• 单位
  常州大学