Duality Theorem and Drinfeld Double in Braided Tensor Categories

dc.creatorZhang, Shouchuan
dc.date2003-07-17
dc.date2004-12-12
dc.date.accessioned2026-07-07T04:59:45Z
dc.date.available2026-07-07T04:59:45Z
dc.descriptionLet $H$ be a finite Hopf algebra with $C_{H,H} = C_{H,H}^{-1}.$ The duality theorem is shown for $H$, i.e., $$ (R # H)# H^{\hat *} \cong R \otimes (H \bar \otimes H^{\hat *}) \hbox {as algebras in} {\cal C}.$$ Also, it is proved that the Drinfeld double $(D(H),[b])$ is a quasi-triangular Hopf algebra in ${\cal C}$.
dc.description8. to appear in Algebra Colloquium
dc.identifierhttps://arxiv.org/abs/math/0307255
dc.identifierhttp://arxiv.org/abs/math/0307255
dc.identifierAlgebra Colloq. 10(2003)2, 127--134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68114
dc.subjectRings and Algebras
dc.subject16w30
dc.titleDuality Theorem and Drinfeld Double in Braided Tensor Categories
dc.typetext

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