Hopf Algebroid Symmetry of Abstract Frobenius Extensions of Depth 2

dc.creatorB"ohm, Gabriella
dc.creatorSzlach'anyi, Korn'el
dc.date2003-05-09
dc.date.accessioned2026-07-07T07:36:57Z
dc.date.available2026-07-07T07:36:57Z
dc.descriptionWe study Frobenius 1-morphisms $ı$ in an additive bicategory $\c$ satisfying the depth 2 condition. We show that the 2-endomorphism rings $\c^2(ı\x\ib,ı\x\ib)$ and $\c^2(\ib\xı,\ib\xı)$ can be equipped with dual Hopf algebroid structures. We prove also that a Hopf algebroid appears as the solution of the above abstract symmetry problem if and only if it possesses a two sided non-degenerate integral.
dc.description23 pages LaTeX2e file with 25 small figures
dc.identifierhttps://arxiv.org/abs/math/0305136
dc.identifierhttp://arxiv.org/abs/math/0305136
dc.identifierComm. Algebra 32 (11) (2004) 4433 - 4464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120610
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleHopf Algebroid Symmetry of Abstract Frobenius Extensions of Depth 2
dc.typetext

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