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arxiv: math/0703498 · v2 · submitted 2007-03-16 · 🧮 math.QA

On Nichols algebras over SL(2,Fq) and GL(2,Fq)

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keywords algebrasgroupsnicholsclassificationcomputeconditionsdimensionalfinite
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We compute necessary conditions on Yetter-Drinfeld modules over the groups SL(2,Fq) and GL(2,Fq) to generate finite dimensional Nichols algebras. This is a first step towards a classification of pointed Hopf algebras with a group of group-likes isomorphic to one of these groups.

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