Duality Theorems for Infinite Braided Hopf Algebras

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dc.creatorZhang, Shouchuan
dc.creatorHan, Yanying
dc.date2003-08-31
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:28Z
dc.date.available2026-07-07T10:01:28Z
dc.descriptionLet $H$ be an infinite-dimensional braided Hopf algebra and assume that the braiding is symmetric on $H$ and its quasi-dual $H^d$. We prove the Blattner-Montgomery duality theorem, namely we prove $$ (R # H)# H^{d} \cong R \otimes (H # H^{d}) \hbox {as algebras in braided tensor category} {\cal C}.$$ In particular, we present two duality theorems for infinite braided Hopf algebras in the Yetter-Drinfeld module category.
dc.description11pages
dc.identifierhttps://arxiv.org/abs/math/0309007
dc.identifierhttp://arxiv.org/abs/math/0309007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168642
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16A30
dc.titleDuality Theorems for Infinite Braided Hopf Algebras
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