Tannaka Reconstruction of Weak Hopf Algebras in Arbitrary Monoidal Categories

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dc.creatorMcCurdy, Micah Blake
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:48:05Z
dc.date.available2026-07-07T12:48:05Z
dc.descriptionWe introduce a variant on the graphical calculus of Cockett and Seely for monoidal functors and illustrate it with a discussion of Tannaka reconstruction, some of which is known and some of which is new. The new portion is: given a separable Frobenius functor F: A --> B from a monoidal category A to a suitably complete or cocomplete braided autonomous category B, the usual formula for Tannaka reconstruction gives a weak bialgebra in B; if, moreover, A is autonomous, this weak bialgebra is in fact a weak Hopf algebra.
dc.description16 pages, a great many figures
dc.identifierhttps://arxiv.org/abs/0903.0208
dc.identifierhttp://arxiv.org/abs/0903.0208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221935
dc.subjectCategory Theory
dc.subjectQuantum Algebra
dc.subject18D35
dc.titleTannaka Reconstruction of Weak Hopf Algebras in Arbitrary Monoidal Categories
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