Hopf algebroids with bijective antipodes: axioms, integrals and duals

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dc.creatorB"ohm, Gabriella
dc.creatorSzlach'anyi, Korn'el
dc.date2003-02-26
dc.date.accessioned2026-07-07T04:55:36Z
dc.date.available2026-07-07T04:55:36Z
dc.descriptionMotivated by the study of depth 2 Frobenius extensions we introduce a new notion of Hopf algebroid. It is a 2-sided bialgebroid with a bijective antipode which connects the two, left and right handed, structures. While all the interesting examples of the Hopf algebroid of J.H. Lu turn out to be Hopf algebroids in the sense of this paper, there exist simple examples showing that our definition is not a special case of Lu's. Our Hopf algebroids, however, belong to the class of $\times_L$-Hopf algebras proposed by P. Schauenburg. After discussing the axioms and some examples we study the theory of non-degenerate integrals in order to obtain duals of Hopf algebroids.
dc.description31 pages LaTeX2e file
dc.identifierhttps://arxiv.org/abs/math/0302325
dc.identifierhttp://arxiv.org/abs/math/0302325
dc.identifierJ. Algebra 274 (2004) 708-750
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66634
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleHopf algebroids with bijective antipodes: axioms, integrals and duals
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