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3g3维半单Hopf代数的结构
引用本文:戴丽,董井成. 3g3维半单Hopf代数的结构[J]. 数学研究, 2013, 0(1): 26-32
作者姓名:戴丽  董井成
作者单位:南京农业大学工学院
基金项目:supported by the NSFC(11201231);the China Postdoctoral Science Foundation(2012M511643);the Jiangsu Planned Projects for Postdoctoral Research Funds(1102041C);Agricultural Machinery Bureau Foundation of Jiangsu Province(GXZ11003)
摘    要:
设g为素数,k是特征为零的代数闭域,日是k上的3q3维半单Hopf代数.本文证明了日总是半可解的,即H可由群代数或对偶群代数经过扩张得到.

关 键 词:半单Hopf代数  半可解性  特征标  Drinfeld偶

Semisimple Hopf Algebras of Dimension 3q~3
Dai Li Dong Jingcheng. Semisimple Hopf Algebras of Dimension 3q~3[J]. Journal of Mathematical Study, 2013, 0(1): 26-32
Authors:Dai Li Dong Jingcheng
Affiliation:Dai Li Dong Jingcheng (College of Engineering,Nanjing Agricultural University,Nanjing Jiangsu 210031)
Abstract:
Abstract Let q be a prinm number, k an algebraically closed field of characteristic 0, and H a semisimple Hopf algebra of dimension 3q3. This paper proves that H is always semisolvable, that is, H can be obtained by a number of extensions from group algebras or duals of.group algebras.
Keywords:Semisimple Hopfalgebra  Semisolvability  Character  Drinfeld double
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