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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (2): 73-78.doi: 10.6040/j.issn.1671-9352.0.2019.453

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九维Taft代数上lazy 2-上闭链

陈晨1,高营营2,陈惠香1*   

  1. 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
  • 发布日期:2020-02-14
  • 作者简介:陈晨(1995— ),男,硕士研究生,研究方向为代数学. E-mail:836027736@qq.com*通信作者简介:陈惠香(1960— ),男,博士,教授,研究方向为代数学. E-mail:hxchen@yzu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11571298)

Lazy 2-cocycles on 9-dimensional Taft algebra

CHEN Chen1, GAO Ying-ying2, CHEN Hui-xiang1*   

  1. 1. College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, Jiangsu, China;
    2. Suqian Suzhou Foreign Language School, Suqian 233800, Jiangsu, China
  • Published:2020-02-14

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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。

关键词: Hopf代数, Taft代数, 2-上闭链, 正规2-上闭链, lazy 2-上闭链

Abstract: 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.

Key words: Hopf algebra, Taft algebra, 2-cocycle, normal 2-cocycle, lazy 2-cocycle

中图分类号: 

  • O152.1
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