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arXiv · 1608.06167

On finite-dimensional copointed Hopf algebras over dihedral groups

Fernando Fantino·Gaston Andres Garcia·Mitja Mastnak
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Abstract

We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions over a dihedral group D_m, with m=4a> 11. We obtain this classification by means of the lifting method, where we use cohomology theory to determine all possible deformations. Our result provides an infinite family of new examples of finite-dimensional copointed Hopf algebras over dihedral groups.

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Fernando Fantino, Gaston Andres Garcia, Mitja Mastnak. 2016-08-22. On finite-dimensional copointed Hopf algebras over dihedral groups. https://doi.org/10.1016/j.jpaa.2018.11.021

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