Weak Hopf monoids in braided monoidal categories

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Authors
Pastro, Craig
Street, Ross
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Abstract
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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.
Comment: 45 pages
Keywords
Mathematics - Quantum Algebra, Mathematics - Category Theory, 16W30, 18B40, 18D10
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