A categorical approach to Turaev's Hopf group-coalgebras

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dc.creatorCaenepeel, S.
dc.creatorDe Lombaerde, M.
dc.date2004-09-30
dc.date.accessioned2026-07-07T05:12:44Z
dc.date.available2026-07-07T05:12:44Z
dc.descriptionWe show that Turaev's group-coalgebras and Hopf group-coalgebras are coalgebras and Hopf algebras in a symmetric monoidal category, which we call the Turaev category. A similar result holds for group-algebras and Hopf group-algebras. As an application, we give an alternative approach to Virelizier's version of the Fundamental Theorem for Hopf algebras. We introduce Yetter-Drinfeld modules over Hopf group-coalgebras using the center construction.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0409600
dc.identifierhttp://arxiv.org/abs/math/0409600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72692
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleA categorical approach to Turaev's Hopf group-coalgebras
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