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### Published volumes

##### 1936-1944
On families of Hopf algebras without the dual Chevalley property
Volume 59, no. 2 (2018), pp. 443–469

DOI: https://doi.org/10.33044/revuma.v59n2a12

### Abstract

Let $\mathbb{k}$ be an algebraically closed field of characteristic zero. We construct several families of finite-dimensional Hopf algebras over $\mathbb{k}$ without the dual Chevalley property via the generalized lifting method. In particular, we obtain 14 families of new Hopf algebras of dimension 128 with non-pointed duals which cover the eight families obtained in our unpublished version, arXiv:1701.01991 [math.QA].