Finite dimensional pointed Hopf algebras over S_4

Mathematics – Quantum Algebra

Scientific paper

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22 pages. Some results extended

Scientific paper

Let k be an algebraically closed field of characteristic 0. We conclude the
classification of finite dimensional pointed Hopf algebras whose group of
group-likes is S_4. We also describe all pointed Hopf algebras over S_5 whose
infinitesimal braiding is associated to the rack of transpositions.

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