Hopf algebroids and quantum groupoids

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dc.creatorLu, Jiang-Hua
dc.date1995-05-19
dc.date.accessioned2026-07-07T09:16:34Z
dc.date.available2026-07-07T09:16:34Z
dc.descriptionWe introduce the notion of Hopf algebroids, in which neither the total algebras nor the base algebras are required to be commutative. We give a class of Hopf algebroids associated to module algebras of the Drinfeld doubles of Hopf algebras when the $R$-matrices act properly. When this construction is applied to quantum groups, we get examples of quantum groupoids, which are semi-classical limits of Poisson groupoids. The example of quantum $sl(2)$ is worked out in details.
dc.description30 pages, in Latex
dc.identifierhttps://arxiv.org/abs/q-alg/9505024
dc.identifierhttp://arxiv.org/abs/q-alg/9505024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153398
dc.subjectQuantum Algebra
dc.titleHopf algebroids and quantum groupoids
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