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On pointed Hopf algebras associated with alternating and dihedral groups

Nicolás Andruskiewitsch·Fernando Fantino
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Abstract

We classify finite-dimensional complex pointed Hopf algebra with group of group-like elements isomorphic to A_5. We show that any pointed Hopf algebra with infinitesimal braiding associated with the conjugacy class of $\pi$ \in $A_n$ is infinite-dimensional if the order of $\pi$ is odd except for $\pi=(1 2 3)$ in $A_4$. We also study pointed Hopf algebras over the dihedral groups.

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Nicolás Andruskiewitsch, Fernando Fantino. 2007-02-19. On pointed Hopf algebras associated with alternating and dihedral groups. https://arxiv.org/abs/math/0702559

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