3q^3维半单Hopf代数的结构(英文)  

Semisimple Hopf Algebras of Dimension 3q^3

作　　者：戴丽[1] 董井成[1] 

机构地区：[1]南京农业大学工学院,江苏南京210031

出　　处：《数学研究》2013年第1期26-32,共7页Journal of Mathematical Study

基　　金：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q为素数,k是特征为零的代数闭域,H是k上的3q3维半单Hopf代数.本文证明了H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.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.

关 键 词：半单HOPF代数 半可解性 特征标 Drinfeld偶 

分 类 号：O153[理学—数学]