From Hopf algebras to tensor categories

Mathematics – Quantum Algebra

Scientific paper

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27 pages

Scientific paper

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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