| Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories |
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| 引用本文： | Jos Nicanor ALONSO LVAREZ,Ramón GONZLEZ RODRIGUEZ,Carlos SONEIRA CALVO.Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories[J].数学学报(英文版),2014,30(4):567-590. |
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| 作者姓名： | Jos Nicanor ALONSO LVAREZ Ramón GONZLEZ RODRIGUEZ Carlos SONEIRA CALVO |
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| 基金项目： | Supported by Ministerio de Ciencia e Innovación,project MTM2010-15634;Supported by FEDER |
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| 摘 要： | In this paper,we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter–Drinfeld modules over a weak braided Hopf monoid.We apply the general result to the calculus of the center in module categories.
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| 关 键 词： | Hopf 模块 分类 辫子 扶正器 幺半群 模范畴 等价 |
Yetter-Drinfeld modules over weak braided Hopf monoids and center categories |
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| José Nicanor Alonso Álvarez,Ramón González Rodríguez,Carlos Soneira Calvo.Yetter-Drinfeld modules over weak braided Hopf monoids and center categories[J].Acta Mathematica Sinica,2014,30(4):567-590. |
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| Authors: | José Nicanor Alonso Álvarez Ramón González Rodríguez Carlos Soneira Calvo |
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| Institution: | Departamento |
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| Abstract: | In this paper, we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter-Drinfeld modules over a weak braided Hopf monoid. We apply the general result to the calculus of the center in module categories. |
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| Keywords: | Weak （braided） Hopf monoid Yetter-Drinfeld module center |
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