The tensor algebras of Yetter-Drinfeld module

The tensor algebras of Yetter-Drinfeld module

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摘要 The antipode of a Yetter-Drinfeld Hopf algebra is an anti-algebra and anti-coalgebra map is proved. It is also proved that the tensor algebra of Yetter-Drinfeld Hopf module is a Yetter-Drinfeld Hopf algebra. The antipode of a Yetter-Drinfeld Hopf algebra is an anti-algebra and anti-coalgebra map is proved. It is also proved that the tensor algebra of Yetter-Drinfeld Hopf module is a Yetter-Drinfeld Hopf algebra.

作者 Yanhua Wang

机构地区 School of Mathematics

出处《上海师范大学学报（自然科学版）》 2014年第5期523-528,共6页 Journal of Shanghai Normal University(Natural Sciences)

基金 Supported by the National Nature Science Foundation of China（Grant No.10901098 and No.11271239）

关键词 Hopf algebra ANTIPODE COMODULE Yetter-Drinfeld Hopf algebras Hopf algebra antipode comodule Yetter-Drinfeld Hopf algebras

分类号 O154.1 [理学—基础数学]

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1Bingliang SHEN,Ling LIU.Center construction and duality of category of Hom-Yetter-Drinfeld modules over monoidal Hom-Hopf algebras[J].Frontiers of Mathematics in China,2017,12(1):177-197.
2Jos Nicanor ALONSO LVAREZ,Ramón GONZLEZ RODRIGUEZ,Carlos SONEIRA CALVO.Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories[J].Acta Mathematica Sinica,English Series,2014,30(4):567-590. 被引量：1
3Hong ZHU,Hui Xiang CHEN.Yetter–Drinfeld Modules over the Hopf–Ore Extension of the Group Algebra of Dihedral Group[J].Acta Mathematica Sinica,English Series,2012,28(3):487-502. 被引量：1
4张良云,王栓宏.Yetter-Drinfel'd Module and Convolution Module[J].Northeastern Mathematical Journal,2002,18(1):13-18.

上海师范大学学报（自然科学版）

2014年第5期

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The tensor algebras of Yetter-Drinfeld module

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