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arxiv: 1204.5807 · v1 · pith:QL7Z5UFBnew · submitted 2012-04-26 · 🧮 math.QA

From Hopf algebras to tensor categories

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keywords hopfalgebraalgebrassphericalcategoriescategorycollectcriteria
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This is a survey on spherical Hopf algebras. We give criteria to decide when a Hopf algebra is spherical and collect examples. We discuss tilting modules as a mean to obtain a fusion subcategory of the non-degenerate quotient of the category of representations of a suitable Hopf algebra.

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