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arxiv: 1009.4659 · v1 · pith:V2SSZATTnew · submitted 2010-09-23 · 🧮 math.QA

On quasitriangular structures in Hopf algebras arising from exact group factorizations

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keywords algebrasarisingexactfactorizationsgroupshopfquasitriangularsimple
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We show that bicrossed product Hopf algebras arising from exact factorizations in almost simple finite groups, so in particular, in simple and symmetric groups, admit no quasitriangular structure.

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