The monoidal Eilenberg-Moore construction and bialgebroids

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dc.creatorSzlachanyi, K.
dc.date2002-08-26
dc.date2002-10-13
dc.date.accessioned2026-07-07T04:50:24Z
dc.date.available2026-07-07T04:50:24Z
dc.descriptionMonoidal functors U:C --> M with left adjoints determine, in a universal way, monoids T in the category of oplax monoidal endofunctors on M. Such monads will be called bimonads. Treating bimonads as abstract "quantum groupoids" we derive Tannaka duality between left adjointable monoidal functors and bimonads. Bialgebroids, i.e., Takeuchi's x_R-bialgebras, appear as the special case when T has also a right adjoint. Street's 2-category of monads then leads to a natural definition of the 2-category of bialgebroids.
dc.description39 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0208198
dc.identifierhttp://arxiv.org/abs/math/0208198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64778
dc.subjectQuantum Algebra
dc.subjectCategory Theory
dc.titleThe monoidal Eilenberg-Moore construction and bialgebroids
dc.typetext

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