Projections of weak braided Hopf algebras

查看全文 作　　者：ALONSO LVAREZ Jos [1]Nicanor;FERNNDEZ VILABOA Jos [2]Manuel;GONZLEZ RODRíIGUEZ [3]Ramón;SONEIRA CALVO [4]Carlos

机构地区：[1]Departamento de Matemticas, Universidad de Vigo Vigo E-36310, Spain;[2]Departamento de lxebra, Universidad de Santiago de Compostela Santiago de Compostela E-15771, Spain;[3]Departamento de Matemtica Aplicada II, Universidad de Vigo Vigo E-36310, Spain;[4]Departamento de Matemticas, Universidad de Vigo Vigo E-36004, Spain

出　　处：《Science China Mathematics》索引2011年第54卷第5期,共30页

基　　金：supported by Ministerio de Ciencia e Innovación,project MTM2010-15634 and by FEDER 摘　　要：In this paper we study the projections of weak braided Hopf algebras using the notion of Yetter-Drinfeld module associated with a weak braided Hopf algebra. As a consequence, we complete the study ofthe structure of weak Hopf algebras with a projection in a braiding setting obtaining a categorical equivalencebetween the category of weak Hopf algebra projections associated with a weak Hopf algebra H living in abraided monoidal category and the category of Hopf algebras in the non-strict braided monoidal category ofleft-left Yetter-Drinfeld modules over H. 关键词：弱HOPF代数辫子monoidal范畴预测编织辫子HOPF代数关联代数模块

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Projections of weak braided Hopf algebras

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