Tannaka Duals in Semisimple Tensor Categories

Mathematics – Category Theory

Scientific paper

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32 pages with 3 figures supplied by tpic commands

Scientific paper

Tannaka duals of Hopf algebras inside semisimple tensor categories are used
to construct orbifold tensor categories, which are shown to include the Tannaka
dual of the dual Hopf algebras. The second orbifolds are then canonically
isomorphic to the initial tensor categories.

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