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arXiv · 1801.06205

Finite-dimensional Hopf algebras over the smallest non-pointed basic Hopf algebra

Rongchuan Xiong
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Abstract

We classify finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradcial is isomorphic to the smallest non-pointed basic Hopf algebra, under the assumption that the diagrams are strictly graded. In particular, we obtain some new Nichols algebras of non-diagonal type and new finite-dimensional Hopf algebras without the dual Chevalley property.

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Rongchuan Xiong. 2018-01-18. Finite-dimensional Hopf algebras over the smallest non-pointed basic Hopf algebra. https://arxiv.org/abs/1801.06205

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