On Hopf algebras over basic Hopf algebras of dimension 24
arXiv: Quantum Algebra(2018)
Abstract
We determine finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero, whose Hopf coradical is isomorphic to a non-pointed basic Hopf algebra of dimension $24$ and the infinitesimal braidings are simple objects, under the assumption that the diagrams are strictly graded. In particular, we obtain families of new finite-dimensional Hopf algebras without the dual Chevalley property.
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