Fusion category
In mathematics, a fusion category is a category that is rigid, semisimple, -linear, monoidal and has only finitely many isomorphism classes of simple objects, such that the monoidal unit is simple. If the ground field is algebraically closed, then the latter is equivalent to by Schur's lemma.
Examples
Reconstruction
Under Tannaka-Krein duality, every fusion category arises as the representations of a weak Hopf algebra.
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