九维Taft代数上lazy 2-上闭链  

Lazy 2-cocycles on 9-dimensional Taft algebra

作　　者：陈晨 高营营 陈惠香[1] CHEN Chen;GAO Ying-ying;CHEN Hui-xiang(College of Mathematical Sciences,Yangzhou University,Yangzhou 225002,Jiangsu,China;Suqian Suzhou Foreign Language School,Suqian 233800,Jiangsu,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]宿迁市苏州外国语学校,江苏宿迁233800

出　　处：《山东大学学报（理学版）》2020年第2期73-78,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11571298).

摘　　要：研究九维Taft代数上正规的lazy 2-上闭链,给出所有这些2-上闭链的结构,证明九维Taft代数上每个正规的lazy 2-上闭链恰好由一个纯量参数确定,且九维Taft代数上全体正规的lazy 2-上闭链关于卷积所构成的乘法群同构于基础域加法群。The normal lazy 2-cocycles on 9-dimensional Taft algebra are investigated.The structures of all such 2-cocycles are given.It is shown that each normal lazy 2-cocycle on 9-dimensional Taft algebra is exactly determined by one scale,and that the group of all normal lazy 2-cocycles on 9-dimensional Taft algebra with respect to convolution product is isomorphic to the additive group of the ground field.

关 键 词：HOPF代数 Taft代数 2-上闭链 正规2-上闭链 lazy 2-上闭链 

分 类 号：O152.1[理学—数学]