Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories  

作　　者：Jos Nicanor ALONSO LVAREZ Ramón GONZLEZ RODRIGUEZ Carlos SONEIRA CALVO 

机构地区：[1]Departamento de Matemticas,Universidad de Vigo,Campus Universitario Lagoas-Marcosende [2]Departamento de Matema'tica Aplicada II,Universidad de Vigo,Campus Universitario Lagoas-Marcosende [3]Departamento de Pedagoxía e Didctica,Universidade da Corua,Campus Universitario de Elvia

出　　处：《Acta Mathematica Sinica,English Series》2014年第4期567-590,共24页数学学报（英文版）

基　　金：Supported by Ministerio de Ciencia e Innovación,project MTM2010-15634;Supported by FEDER

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.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.

关 键 词：Weak （braided） Hopf monoid Yetter-Drinfeld module CENTER 

分 类 号：O153[理学—数学]