Английская Википедия:Fusion category

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In mathematics, a fusion category is a category that is abelian, <math>k</math>-linear, semisimple, monoidal, and rigid, and has only finitely many isomorphism classes of simple objects, such that the monoidal unit is simple. If the ground field <math>k</math> is algebraically closed, then the latter is equivalent to <math>\mathrm{Hom}(1,1)\cong k</math> by Schur's lemma.

Examples

Reconstruction

Under Tannaka–Krein duality, every fusion category arises as the representations of a weak Hopf algebra.

References

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