Weak Hopf monoids in braided monoidal categories
classification
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math.CT
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weakcategorieshopfbraidedmonoidmonoidalmonoidsquantum
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We develop the theory of weak bimonoids in braided monoidal categories and show them to be quantum categories in a certain sense. Weak Hopf monoids are shown to be quantum groupoids. Each separable Frobenius monoid R leads to a weak Hopf monoid R \otimes R.
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