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一类无限维Hopf代数的构造 被引量:1

Construction of Some Unlimited Dimensional Hopf Algebras
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摘要 设r=sum from C∈K(D_2) to (r_CC)为二面体群D2的分歧,给出了当ra,rb和rba均非零时,群代数kD2在Hopf双模kQ1上的模作用以及Hopf代数kD2[kQ1]的结构. Let D2 be a dihedral group and r = ∑CeK(D2) rc C be a ramification of D2, the kD2-actions on the Hopf bimodule kQ1 and the structure of Hopf algebra kD2[kQ1] are presented for ra, rb and rba being nonzero natural numbers.
作者 吴美云
机构地区 南通大学理学院
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2007年第3期385-388,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10471121) 南通大学自然科学研究课题基金(批准号:03040042).
关键词 HOPF代数 Hopf双模 箭图 Hopf algebra Hopf bimodule quiver
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参考文献7

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二级参考文献10

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同被引文献6

  • 1Caenepeel S, Van Oystaeyen F, ZHOU Bo-rou. Making the Category of Doi-Hopf Modules into a Braided Monoidal Category [J]. Algebras and Representation Theory, 1998, 1 ( 1 ) : 75-96.
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  • 3Caenepeel S, De Groot E. Corings Applied to Partial Galois Theory [ C ]//Proceedings of the International Conference on Mathematics and Applications, ICMA 2004. Kuwait: Kuwait University, 2005 : 117-134.
  • 4Exel R. Twisted Partial Actions: a Classification of Regular C^* -Algebraic Bundles [ J]. Proc London Math Soc, 1997, 74(2) : 417-443.
  • 5赵玲.Hopf流形上线丛的上同调群[J].东北师大学报(自然科学版),2007,39(3):12-16. 被引量:1
  • 6贾玲,姜秀燕.缠绕模的辫子范畴[J].数学物理学报(A辑),2009,29(5):1307-1310. 被引量:2

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