Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 633-688 |
| Number of pages | 56 |
| Journal | Bulletin of the Belgian Mathematical Society - Simon Stevin |
| Volume | 28 |
| Issue number | 5 |
| DOIs | |
| State | Published - Sep 2022 |
Keywords
- Dual Chevalley property
- Dual Radford algebra
- Hopf algebra
- Nichols algebra