Revista de la
Unión Matemática Argentina
On families of Hopf algebras without the dual Chevalley property
Naihong Hu, Rongchuan Xiong
Volume 59, no. 2 (2018), pp. 443–469


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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14 families of new Hopf algebras of dimension 128 with non-pointed duals which cover the eight families obtained in our unpublished version, arXiv:1701.01991 [math.QA].