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.
Reconstruction
Under Tannaka-Krein duality, every fusion category arises as the representations of a weak Hopf algebra.
gollark: Retroactively.
gollark: On what input?
gollark: Why?
gollark: That's fine, the cryoapioform was actually just me randomly picking a number from 1 to 13.
gollark: A moderately sized cryoapioform told me to tell you to look at #12 more closely.
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