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In mathematics, a fusion category is a category that is rigid, semisimple, k {\displaystyle k} -linear, monoidal and has only finitely many isomorphism classes of simple objects, such that the monoidal unit is simple. If the ground field k {\displaystyle k} is algebraically closed, then the latter is equivalent to H o m ≅ k {\displaystyle \mathrm {Hom} \cong k} by Schur's lemma.
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