pq3维半单Hopf代数的结构

吉林大学学报(理学版)

pq³维半单Hopf代数的结构

董井成^1,2, 戴丽²

1. 东南大学数学系, 南京 210096; 2. 南京农业大学工学院, 南京 210031

收稿日期:2013-02-21 出版日期:2013-11-26 发布日期:2013-11-21
通讯作者: 董井成 E-mail:dongjc@njau.edu.cn

Structure of Semisimple Hopf Algebras of pq³ -Dimension

DONG Jing cheng ^1,2, DAI Li ²

1. Department of Mathematics, Southeast University, Nanjing 210096, China; 2. College of Engineering, Nanjing Agricultural University, Nanjing 210031, China

Received:2013-02-21 Online:2013-11-26 Published:2013-11-21
Contact: DONG Jing cheng E-mail:dongjc@njau.edu.cn

摘要/Abstract

摘要：

通过分析半单Hopf代数类群元所构成群的阶数, 得到了特征为零代数闭域上pq³维半单Hopf代数的结构: 它们或者是半可解的, 或者同构于Radford双积R#A, 其中: p,q是满足条件p>q ²的素数; A是q ³维半单Hopf代数; R是Yetter-Drinfeld模范畴中的p维半单Hopf代数.

关键词: 半单Hopf代数, 半可解性, Radford双积, 特征标, Drinfeld偶

Abstract:

Analyzing the order of the group consisting of group\|like elements of a semisimple Hopf algebra, the authors obtained the structures of semisimple Hopf algebras of dimension pq³ over an algebraically closed field of characteristic 0: they are either semisolvable, or isomorphic to a Radford biproduR#A, where p,q are prime numbers to meet the needs of p>q ², A is a semisimple Hopf algebra of dimension q ³, R is a semisimple Yetter-Drinfeld Hopf algebra in of dimension p.

Key words: semisimple Hopf algebra, semisolvability, Radford biproduct, character, Drinfeld double

中图分类号:

O153.3

董井成, 戴丽. pq³维半单Hopf代数的结构[J]. 吉林大学学报(理学版), 2013, 51(06): 1013-1018.

DONG Jing cheng, DAI Li. Structure of Semisimple Hopf Algebras of pq³ -Dimension[J]. Journal of Jilin University Science Edition, 2013, 51(06): 1013-1018.

pq³维半单Hopf代数的结构

Structure of Semisimple Hopf Algebras of pq³ -Dimension

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