On Frobenius algebras in rigid monoidal categories

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dc.creatorFuchs, Jurgen
dc.creatorStigner, Carl
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:36:47Z
dc.date.available2026-07-07T12:36:47Z
dc.descriptionWe show that the equivalence between several possible characterizations of Frobenius algebras, and of symmetric Frobenius algebras, carries over from the category of vector spaces to more general monoidal categories. For Frobenius algebras, the appropriate setting is the one of rigid monoidal categories, and for symmetric Frobenius algebras it is the one of sovereign monoidal categories. We also discuss some properties of Nakayama automorphisms.
dc.identifierhttps://arxiv.org/abs/0901.4886
dc.identifierhttp://arxiv.org/abs/0901.4886
dc.identifierArabian Journal for Science and Engineering 33-2C (2008) 175 - 191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218212
dc.subjectCategory Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject16B50, 18D10, 18D35
dc.titleOn Frobenius algebras in rigid monoidal categories
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