Duality Theorems for Infinite Braided Hopf Algebras

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Let $H$ 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.
11pages

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Quantum Algebra, Rings and Algebras, 16A30

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http://salesiana.dossiersoluciones.com/handle/123456789/168642

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309007
 http://arxiv.org/abs/math/0309007

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arXiv