Integrals of Braided Hopf Algebras

dc.creatorGuo, Xijing
dc.creatorZhang, Shouchuan
dc.date2005-11-10
dc.date2005-12-09
dc.date.accessioned2026-07-07T07:36:35Z
dc.date.available2026-07-07T07:36:35Z
dc.descriptionThe faithful quasi-dual $H^d$ and strict quasi-dual $H^{d'}$ of an infinite braided Hopf algebra $H$ are introduced and it is proved that every strict quasi-dual $H^{d'}$ is an $H$-Hopf module. The connection between the integrals and the maximal rational $H^{d}$-submodule $H^{d rat}$ of $H^{d}$ is found. That is, $H^{d rat}\cong \int ^l_{H^d} \otimes H$ is proved. The existence and uniqueness of integrals for braided Hopf algebras in the Yetter-Drinfeld category $(^B_B{\cal YD},C)$ are given.
dc.description12
dc.identifierhttps://arxiv.org/abs/math/0511252
dc.identifierhttp://arxiv.org/abs/math/0511252
dc.identifierJournal Of Mathematical Research And Exposition, 26(2006)4, 3--17
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120480
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleIntegrals of Braided Hopf Algebras
dc.typetext

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