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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (12): 76-80.doi: 10.6040/j.issn.1671-9352.0.2014.512

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Monoidal Hom-Hopf代数上的对角交叉积

游弥漫, 赵晓凡   

  1. 东南大学数学系, 江苏 南京 210096
  • 收稿日期:2014-11-13 修回日期:2015-04-16 出版日期:2015-12-20 发布日期:2015-12-23
  • 作者简介:游弥漫(1984-),女,博士研究生,研究方向为Hopf代数及其表示理论.E-mail:youmiman@126.com
  • 基金资助:
    江苏省普通高校研究生科研创新计划项目(KYZZ_0060);江苏省自然科学基金资助项目(BK2012736);国家自然科学基金资助项目(11371088)

Diagonal crossed products over monoidal Hom-Hopf algebras

YOU Mi-man, ZHAO Xiao-fan   

  1. Department of Mathematics, Southeast University, Nanjing 210096, Jiangsu, China
  • Received:2014-11-13 Revised:2015-04-16 Online:2015-12-20 Published:2015-12-23

摘要: 作为Hopf代数上的对角交叉积的推广,构造了monoidal Hom-Hopf代数上的对角交叉积,并研究了其和Yetter-Drinfeld Hom-模之间的关系,即Yetter-Drinfeld Hom-模范畴同构于对角交叉积的左模范畴。

关键词: monoidal Hom-Hopf代数, Yetter-Drinfeld Hom-模, 对角交叉积

Abstract: The diagonal crossed products over ordinary Hopf algebras to monoidal Hom-Hopf algebras is generalized. Furthermore, it is proved that the category of Yetter-Drinfeld Hom-modules is isomorphic to the category of left modules over the diagonal crossed products.

Key words: Yetter-Drinfeld Hom-modules, diagonal crossed products, monoidal Hom-Hopf algebras

中图分类号: 

  • O153.5
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[1] 郭双建,李怡铮. Hom-Yetter-Drinfeld模范畴的半单性[J]. 山东大学学报(理学版), 2016, 51(12): 17-23.
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